Chen, Jun; Guo, Li; Wang, Kai; Zhou, Guodong Koszul duality, minimal model and \(L_\infty \)-structure for differential algebras with weight. (English) Zbl 07794567 Adv. Math. 437, Article ID 109438, 41 p. (2024). MSC: 18M70 12H05 18M65 12H10 16E40 16S80 18M60 PDFBibTeX XMLCite \textit{J. Chen} et al., Adv. Math. 437, Article ID 109438, 41 p. (2024; Zbl 07794567) Full Text: DOI arXiv
Yamashita, Mayuko Differential models for the Anderson dual to bordism theories and invertible QFT’s. II. (English) Zbl 07753334 J. Gökova Geom. Topol. GGT 16, 65-97 (2023). MSC: 81T10 55N22 14C20 12F05 14F42 39A20 39A12 PDFBibTeX XMLCite \textit{M. Yamashita}, J. Gökova Geom. Topol. GGT 16, 65--97 (2023; Zbl 07753334) Full Text: arXiv Link
Yamashita, Mayuko; Yonekura, Kazuya Differential models for the Anderson dual to bordism theories and invertible QFT’s. I. (English) Zbl 07753333 J. Gökova Geom. Topol. GGT 16, 1-64 (2023). MSC: 81T10 55N22 14C20 12F05 14F42 57-XX 53-XX PDFBibTeX XMLCite \textit{M. Yamashita} and \textit{K. Yonekura}, J. Gökova Geom. Topol. GGT 16, 1--64 (2023; Zbl 07753333) Full Text: arXiv Link
Minami, Norihiko Generalized Lüroth problems, hierarchized I: SBNR – stably birationalized unramified sheaves and lower retract rationality. arXiv:2210.12225 Preprint, arXiv:2210.12225 [math.AG] (2022). MSC: 14E08 14M20 14F20 14F42 13A18 12F12 19E15 55Q45 14C35 13H05 14F22 20J06 55R35 19D45 14J70 BibTeX Cite \textit{N. Minami}, ``Generalized L\"uroth problems, hierarchized I: SBNR -- stably birationalized unramified sheaves and lower retract rationality'', Preprint, arXiv:2210.12225 [math.AG] (2022) Full Text: arXiv OA License
Gaulhiac, Sylvain Comparison between admissible and de Jong coverings of rigid analytic spaces in mixed characteristic. arXiv:2201.08065 Preprint, arXiv:2201.08065 [math.AG] (2022). MSC: 14G22 14F20 14F35 14H30 12J25 BibTeX Cite \textit{S. Gaulhiac}, ``Comparison between admissible and de Jong coverings of rigid analytic spaces in mixed characteristic'', Preprint, arXiv:2201.08065 [math.AG] (2022) Full Text: arXiv OA License
Collas, Benjamin (ed.); Dèbes, Pierre (ed.); Nakamura, Hiroaki (ed.); Stix, Jakob (ed.) Homotopic and geometric Galois theory. Abstracts from the workshop held March 7–13, 2021 (online meeting). (English) Zbl 1487.00035 Oberwolfach Rep. 18, No. 1, 663-744 (2021). MSC: 00B05 00B25 12-06 11-06 11F80 12F12 14G32 55Pxx 13B05 14H30 14F22 PDFBibTeX XMLCite \textit{B. Collas} (ed.) et al., Oberwolfach Rep. 18, No. 1, 663--744 (2021; Zbl 1487.00035) Full Text: DOI
Henneke, Fabian; Kielak, Dawid Agrarian and \(L^2\)-invariants. (English) Zbl 07472617 Fundam. Math. 255, No. 3, 255-287 (2021). MSC: 20J05 12E15 16S35 20E06 57Q10 PDFBibTeX XMLCite \textit{F. Henneke} and \textit{D. Kielak}, Fundam. Math. 255, No. 3, 255--287 (2021; Zbl 07472617) Full Text: DOI arXiv
Bayer-Fluckiger, Eva; Serre, Jean-Pierre Lines on cubic surfaces, Witt invariants and Stiefel-Whitney classes. (English) Zbl 1471.12005 Indag. Math., New Ser. 32, No. 5, 920-938 (2021). MSC: 12G05 14J26 11E57 11E72 55R40 12F10 14F42 14M20 PDFBibTeX XMLCite \textit{E. Bayer-Fluckiger} and \textit{J.-P. Serre}, Indag. Math., New Ser. 32, No. 5, 920--938 (2021; Zbl 1471.12005) Full Text: DOI arXiv
Labahn, George; Safey El Din, Mohab; Schost, Éric; Vu, Thi Xuan Homotopy techniques for solving sparse column support determinantal polynomial systems. (English) Zbl 1495.13040 J. Complexity 66, Article ID 101557, 20 p. (2021). Reviewer: Gema Maria Diaz Toca (Murcia) MSC: 13P15 68W30 12D10 65F40 PDFBibTeX XMLCite \textit{G. Labahn} et al., J. Complexity 66, Article ID 101557, 20 p. (2021; Zbl 1495.13040) Full Text: DOI arXiv
Kielak, Dawid; Sun, Bin Agrarian and \(\ell^2\)-Betti numbers of locally indicable groups, with a twist. arXiv:2112.07394 Preprint, arXiv:2112.07394 [math.GT] (2021). MSC: 20J05 57R22 57K31 57Q10 12E15 16S35 BibTeX Cite \textit{D. Kielak} and \textit{B. Sun}, ``Agrarian and $\ell^2$-Betti numbers of locally indicable groups, with a twist'', Preprint, arXiv:2112.07394 [math.GT] (2021) Full Text: arXiv OA License
Zelenko, Leonid Generic monodromy group of Riemann surfaces for inverses to entire functions of finite order. arXiv:2105.14015 Preprint, arXiv:2105.14015 [math.FA] (2021). MSC: 30D15 30H99 30F20 14F35 14H30 12F10 32A10 30G35 32C25 46A04 54E52 BibTeX Cite \textit{L. Zelenko}, ``Generic monodromy group of Riemann surfaces for inverses to entire functions of finite order'', Preprint, arXiv:2105.14015 [math.FA] (2021) Full Text: arXiv OA License
Huber, Annette Galois theory of periods. (English) Zbl 1469.14046 Münster J. Math. 13, No. 2, 573-596 (2020). MSC: 14F42 12F10 14C30 14C15 14-02 PDFBibTeX XMLCite \textit{A. Huber}, Münster J. Math. 13, No. 2, 573--596 (2020; Zbl 1469.14046) Full Text: DOI arXiv
Douady, Adrien; Douady, Régine Algebra and Galois theories. Translated from the French by Urmie Ray. (English) Zbl 1459.11001 Cham: Springer (ISBN 978-3-030-32795-8/hbk; 978-3-030-32796-5/ebook). xxiii, 462 p. (2020). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 11-01 12-01 15-01 18-01 55-01 12F10 14E20 14F35 14H30 PDFBibTeX XMLCite \textit{A. Douady} and \textit{R. Douady}, Algebra and Galois theories. Translated from the French by Urmie Ray. Cham: Springer (2020; Zbl 1459.11001) Full Text: DOI
Kucharczyk, Robert A.; Scholze, Peter Topological realisations of absolute Galois groups. (English) Zbl 1439.14074 Cogdell, James W. (ed.) et al., Cohomology of arithmetic groups. On the occasion of Joachim Schwermer’s 66th birthday, Bonn, Germany, June 2016. Cham: Springer. Springer Proc. Math. Stat. 245, 201-288 (2018). MSC: 14F35 11R32 12F10 14G32 PDFBibTeX XMLCite \textit{R. A. Kucharczyk} and \textit{P. Scholze}, Springer Proc. Math. Stat. 245, 201--288 (2018; Zbl 1439.14074) Full Text: DOI arXiv
Collas, Benjamin (ed.); Dèbes, Pierre (ed.); Fried, Michael D. (ed.) Mini-workshop: Arithmetic geometry and symmetries around Galois and fundamental groups. Abstracts from the mini-workshop held April 15–21, 2018. (English) Zbl 1409.00080 Oberwolfach Rep. 15, No. 2, 1021-1080 (2018). MSC: 00B05 00B25 12F12 14G32 14H30 14F22 14F35 12-06 14-06 14G40 PDFBibTeX XMLCite \textit{B. Collas} (ed.) et al., Oberwolfach Rep. 15, No. 2, 1021--1080 (2018; Zbl 1409.00080) Full Text: DOI
Krzyżanowska, Iwona; Nowel, Aleksandra Mappings into the Stiefel manifold and cross-cap singularities. (English) Zbl 1412.57021 Houston J. Math. 44, No. 3, 831-846 (2018). Reviewer: Aleksandr G. Aleksandrov (Moskva) MSC: 57R45 14P25 12Y05 PDFBibTeX XMLCite \textit{I. Krzyżanowska} and \textit{A. Nowel}, Houston J. Math. 44, No. 3, 831--846 (2018; Zbl 1412.57021) Full Text: arXiv
Rungtanapirom, Nithi Godeaux-Serre varieties with prescribed arithmetic fundamental group. (English) Zbl 1420.14045 J. Pure Appl. Algebra 222, No. 11, 3337-3344 (2018). MSC: 14F35 14H30 12F12 PDFBibTeX XMLCite \textit{N. Rungtanapirom}, J. Pure Appl. Algebra 222, No. 11, 3337--3344 (2018; Zbl 1420.14045) Full Text: DOI arXiv
Positselski, Leonid Koszulity of cohomology \( = K(\pi,1)\)-Ness + quasi-formality. (English) Zbl 1454.16034 J. Algebra 483, 188-229 (2017). MSC: 16S37 12G05 14C15 18G90 PDFBibTeX XMLCite \textit{L. Positselski}, J. Algebra 483, 188--229 (2017; Zbl 1454.16034) Full Text: DOI arXiv
Theobald, Thorsten; de Wolff, Timo Norms of roots of trinomials. (English) Zbl 1379.12002 Math. Ann. 366, No. 1-2, 219-247 (2016). MSC: 12D10 14H10 14H50 26C10 30C15 55R10 14D05 55P15 PDFBibTeX XMLCite \textit{T. Theobald} and \textit{T. de Wolff}, Math. Ann. 366, No. 1--2, 219--247 (2016; Zbl 1379.12002) Full Text: DOI arXiv
Rojas-Echenique, Ricardo G. Injectivity and surjectivity of the Dress map. (English) Zbl 1401.11081 J. Pure Appl. Algebra 220, No. 12, 3816-3820 (2016). Reviewer: Detlev Hoffmann (Dortmund) MSC: 11E81 19A22 12F10 14F42 19G99 55P91 PDFBibTeX XMLCite \textit{R. G. Rojas-Echenique}, J. Pure Appl. Algebra 220, No. 12, 3816--3820 (2016; Zbl 1401.11081) Full Text: DOI arXiv
Merkurjev, A. Degree three cohomological invariants of semisimple groups. (English) Zbl 1367.12003 J. Eur. Math. Soc. (JEMS) 18, No. 3, 657-680 (2016). Reviewer: Ivan D. Chipchakov (Sofia) MSC: 12G05 11E72 14F20 14F42 PDFBibTeX XMLCite \textit{A. Merkurjev}, J. Eur. Math. Soc. (JEMS) 18, No. 3, 657--680 (2016; Zbl 1367.12003) Full Text: DOI
Schenck, Henry Book review of: D. J. Bates et al., Numerically solving polynomial systems with Bertini. (English) Zbl 1325.00015 Bull. Am. Math. Soc., New Ser. 53, No. 1, 179-186 (2016). MSC: 00A17 65-02 12Y05 14Q15 65H04 65H10 65H20 65Y15 68W30 PDFBibTeX XMLCite \textit{H. Schenck}, Bull. Am. Math. Soc., New Ser. 53, No. 1, 179--186 (2016; Zbl 1325.00015) Full Text: DOI Link
Chen, Tianran; Li, Tien-Yien Homotopy continuation method for solving systems of nonlinear and polynomial equations. (English) Zbl 1337.65044 Commun. Inf. Syst. 15, No. 2, 119-307 (2015). Reviewer: Sonia Pérez Díaz (Madrid) MSC: 65H20 65Y05 65H04 12Y05 PDFBibTeX XMLCite \textit{T. Chen} and \textit{T.-Y. Li}, Commun. Inf. Syst. 15, No. 2, 119--307 (2015; Zbl 1337.65044) Full Text: DOI
Positselski, Leonid Artin-Tate motivic sheaves with finite coefficients over an algebraic variety. (English) Zbl 1393.12008 Proc. Lond. Math. Soc. (3) 111, No. 6, 1402-1430 (2015). Reviewer: Thong Nguyen Quang Do (Besançon) MSC: 12G05 14F42 14F05 18E10 PDFBibTeX XMLCite \textit{L. Positselski}, Proc. Lond. Math. Soc. (3) 111, No. 6, 1402--1430 (2015; Zbl 1393.12008) Full Text: DOI arXiv
Madore, David; Orgogozo, Fabrice Calculability of étale cohomology modulo \(\ell\). (Calculabilité de la cohomologie étale modulo \(\ell\).) (French. English summary) Zbl 1327.14095 Algebra Number Theory 9, No. 7, 1647-1739 (2015). MSC: 14F20 14Q15 12G05 12Y05 03D99 14Q99 13P10 14A20 14F35 18G30 20E18 55P20 55T05 PDFBibTeX XMLCite \textit{D. Madore} and \textit{F. Orgogozo}, Algebra Number Theory 9, No. 7, 1647--1739 (2015; Zbl 1327.14095) Full Text: DOI arXiv
Di Proietto, Valentina; Shiho, Atsushi On \(p\)-adic differential equations on semistable varieties. II. (English) Zbl 1361.12003 Manuscr. Math. 146, No. 1-2, 179-199 (2015). MSC: 12H25 14F35 PDFBibTeX XMLCite \textit{V. Di Proietto} and \textit{A. Shiho}, Manuscr. Math. 146, No. 1--2, 179--199 (2015; Zbl 1361.12003) Full Text: DOI arXiv
Riou, Joël The Bloch-Kato conjecture (after M. Rost and V. Voevodsky). (La conjecture de Bloch-Kato (d’après M. Rost et V. Voevodsky).) (French) Zbl 1366.19001 Séminaire Bourbaki. Volume 2012/2013. Exposés 1059–1073. Avec table par noms d’auteurs de 1948/49 à 2012/13. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-785-8/pbk). Astérisque 361, 421-463, Exp. No. 1073 (2014). Reviewer: Claudio Pedrini (Genova) MSC: 19-02 19D45 12G05 14F42 PDFBibTeX XMLCite \textit{J. Riou}, Astérisque 361, 421--463, Exp. No. 1073 (2014; Zbl 1366.19001)
Decker, Wolfram Book review of: Daniel Bates et al., Numerically solving polynomial systems with Bertini. (English) Zbl 1314.00023 ACM Commun. Comput. Algebra 48, No. 2, 57-58 (2014). MSC: 00A17 65-02 12Y05 14Q15 65H04 65H10 65H20 65Y15 68W30 PDFBibTeX XMLCite \textit{W. Decker}, ACM Commun. Comput. Algebra 48, No. 2, 57--58 (2014; Zbl 1314.00023) Full Text: DOI
Pacheco, Amílcar; Stevenson, Katherine F.; Zalesskii, Pavel Erratum to: “Normal subgroups of the algebraic fundamental group of affine curves in positive characteristic”. (English) Zbl 1293.14002 Math. Ann. 359, No. 3-4, 1115-1116 (2014). MSC: 14H30 12F10 14G32 14F35 20E18 PDFBibTeX XMLCite \textit{A. Pacheco} et al., Math. Ann. 359, No. 3--4, 1115--1116 (2014; Zbl 1293.14002) Full Text: DOI
Wu, Wenyuan; Reid, Greg Finding points on real solution components and applications to differential polynomial systems. (English) Zbl 1360.14145 Kauers, Manuel (ed.), Proceedings of the 38th international symposium on symbolic and algebraic computation, ISSAC 2013, Boston, MA, USA, June 26–29, 2013. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-2059-7). 339-346 (2013). MSC: 14Q15 12H05 PDFBibTeX XMLCite \textit{W. Wu} and \textit{G. Reid}, in: Proceedings of the 38th international symposium on symbolic and algebraic computation, ISSAC 2013, Boston, MA, USA, June 26--29, 2013. New York, NY: Association for Computing Machinery (ACM). 339--346 (2013; Zbl 1360.14145) Full Text: DOI
Bates, Daniel J.; Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler, Charles W. Numerically solving polynomial systems with Bertini. (English) Zbl 1295.65057 Software - Environments - Tools 25. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-1-611972-69-6/pbk). xx, 352 p. (2013). Reviewer: Guillermo Matera (Buenos Aires) MSC: 65-02 12Y05 14Q15 65H04 65H10 65H20 65Y15 68W30 PDFBibTeX XMLCite \textit{D. J. Bates} et al., Numerically solving polynomial systems with Bertini. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (2013; Zbl 1295.65057)
Asok, Aravind Rationality problems and conjectures of Milnor and Bloch-Kato. (English) Zbl 1279.14063 Compos. Math. 149, No. 8, 1312-1326 (2013). Reviewer: Piotr Krasoń (Szczecin) MSC: 14M20 19D45 11E81 12G05 14F42 PDFBibTeX XMLCite \textit{A. Asok}, Compos. Math. 149, No. 8, 1312--1326 (2013; Zbl 1279.14063) Full Text: DOI arXiv
Yagita, Nobuaki Chern classes and the Rost cohomological invariant. (English) Zbl 1311.11024 Kodai Math. J. 36, No. 1, 174-178 (2013). Reviewer: Detlev Hoffmann (Dortmund) MSC: 11E72 12G05 14F42 17B45 19E15 55T25 57T10 PDFBibTeX XMLCite \textit{N. Yagita}, Kodai Math. J. 36, No. 1, 174--178 (2013; Zbl 1311.11024) Full Text: DOI Euclid
Galligo, André Deformation of roots of polynomials via fractional derivatives. (English) Zbl 1261.65046 J. Symb. Comput. 52, 35-50 (2013). MSC: 65H04 65D07 26A33 12D10 65E05 30C15 65H20 68W30 PDFBibTeX XMLCite \textit{A. Galligo}, J. Symb. Comput. 52, 35--50 (2013; Zbl 1261.65046) Full Text: DOI
Dèbes, Pierre (ed.); Emsalem, Michel (ed.); Romagny, Matthieu (ed.); Uludağ, A. Muhammed (ed.) Arithmetic and geometry around Galois theory. Based on two summer schools, Istanbul, Turkey, 2008 and 2009. (English) Zbl 1255.14002 Progress in Mathematics 304. Basel: Birkhäuser (ISBN 978-3-0348-0486-8/hbk; 978-3-0348-0487-5/ebook). xi, 401 p. (2013). MSC: 14-06 12-06 11-06 18-06 14A20 14Hxx 14F20 14F35 14L15 14Gxx 12G10 18D99 18G50 00B25 PDFBibTeX XMLCite \textit{P. Dèbes} (ed.) et al., Arithmetic and geometry around Galois theory. Based on two summer schools, Istanbul, Turkey, 2008 and 2009. Basel: Birkhäuser (2013; Zbl 1255.14002) Full Text: DOI
Stix, Jakob On cuspidal sections of algebraic fundamental groups. (English) Zbl 1321.14027 Nakamura, Hiroaki (ed.) et al., Galois-Teichmüller theory and arithmetic geometry. Selected papers based on the presentations at the workshop and conference, Kyoto, Japan, October 25–30, 2010. Tokyo: Mathematical Society of Japan (ISBN 978-4-86497-014-3/hbk). Advanced Studies in Pure Mathematics 63, 519-563 (2012). MSC: 14H30 14G32 14G05 12E30 14F35 PDFBibTeX XMLCite \textit{J. Stix}, Adv. Stud. Pure Math. 63, 519--563 (2012; Zbl 1321.14027) Full Text: arXiv
Kameko, M.; Tezuka, M.; Yagita, N. Coniveau spectral sequences of classifying spaces for exceptional and spin groups. (English) Zbl 1241.55009 Math. Proc. Camb. Philos. Soc. 152, No. 2, 251-278 (2012). Reviewer: Daniel Tanré (Villeneuve d’ Ascq) MSC: 55R35 55R20 20G20 14F42 11E72 12G05 55P35 55T25 57T05 PDFBibTeX XMLCite \textit{M. Kameko} et al., Math. Proc. Camb. Philos. Soc. 152, No. 2, 251--278 (2012; Zbl 1241.55009) Full Text: DOI
Leykin, Anton A search for an optimal start system for numerical homotopy continuation. (English) Zbl 1236.65050 Gurvits, Leonid (ed.) et al., Randomization, relaxation, and complexity in polynomial equation solving. Banff International Research Station workshop on randomization, relaxation, and complexity, Banff, Ontario, Canada, February 28–March 5, 2010. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-5228-6/pbk). Contemporary Mathematics 556, 113-126 (2011). MSC: 65H04 65H10 12Y05 65Y20 65H20 PDFBibTeX XMLCite \textit{A. Leykin}, Contemp. Math. 556, 113--126 (2011; Zbl 1236.65050) Full Text: arXiv
Tsuno, Yuji Normal basis problem for torsors under a finite flat group scheme. (English) Zbl 1247.13012 RIMS Kôkyûroku Bessatsu B25, 53-74 (2011). Reviewer: Huang Hua-Lin (Shandong) MSC: 13B05 14L15 12G05 57T05 PDFBibTeX XMLCite \textit{Y. Tsuno}, RIMS Kôkyûroku Bessatsu B25, 53--74 (2011; Zbl 1247.13012)
Beltrán, Carlos; Pardo, Luis Miguel Fast linear homotopy to find approximate zeros of polynomial systems. (English) Zbl 1232.65075 Found. Comput. Math. 11, No. 1, 95-129 (2011). Reviewer: Przemyslaw Stpiczynski (Lublin) MSC: 65H10 65H04 65H20 12Y05 13P15 65Y20 PDFBibTeX XMLCite \textit{C. Beltrán} and \textit{L. M. Pardo}, Found. Comput. Math. 11, No. 1, 95--129 (2011; Zbl 1232.65075) Full Text: DOI
Bawazir, Hassan M. S.; Rahman, Ali Abd A tabu search method for finding minimal multi-homogeneous Bézout number. (English) Zbl 1229.65085 J. Math. Stat. 6, No. 2, 105-109 (2010). Reviewer: Florin Nicolae (Berlin) MSC: 65H10 65H20 65K05 12Y05 PDFBibTeX XMLCite \textit{H. M. S. Bawazir} and \textit{A. A. Rahman}, J. Math. Stat. 6, No. 2, 105--109 (2010; Zbl 1229.65085) Full Text: DOI Link
Huebschmann, Johannes On the construction of \(A_\infty\)-structures. (English) Zbl 1202.55007 Georgian Math. J. 17, No. 1, 161-202 (2010). Reviewer: Saïd Zarati (Tunis) MSC: 55P62 13N05 57T30 12H05 16E45 17B55 17B56 17B65 17B70 18G55 PDFBibTeX XMLCite \textit{J. Huebschmann}, Georgian Math. J. 17, No. 1, 161--202 (2010; Zbl 1202.55007) Full Text: DOI arXiv
Piret, Kathy; Verschelde, Jan Sweeping algebraic curves for singular solutions. (English) Zbl 1189.65101 J. Comput. Appl. Math. 234, No. 4, 1228-1237 (2010). MSC: 65H10 65H20 12Y05 26C10 30C15 PDFBibTeX XMLCite \textit{K. Piret} and \textit{J. Verschelde}, J. Comput. Appl. Math. 234, No. 4, 1228--1237 (2010; Zbl 1189.65101) Full Text: DOI arXiv
Beltrán, Carlos; Shub, Michael A note on the finite variance of the averaging function for polynomial system solving. (English) Zbl 1192.65055 Found. Comput. Math. 10, No. 1, 115-125 (2010). Reviewer: T. C. Mohan (Dehra Dun) MSC: 65H10 65H20 65Y20 65H04 12Y05 13P15 30C15 PDFBibTeX XMLCite \textit{C. Beltrán} and \textit{M. Shub}, Found. Comput. Math. 10, No. 1, 115--125 (2010; Zbl 1192.65055) Full Text: DOI
Shiho, Atsushi Parabolic log convergent isocrystals. arXiv:1010.4364 Preprint, arXiv:1010.4364 [math.NT] (2010). MSC: 12H25 14F35 BibTeX Cite \textit{A. Shiho}, ``Parabolic log convergent isocrystals'', Preprint, arXiv:1010.4364 [math.NT] (2010) Full Text: arXiv OA License
Beltrán, Carlos; Pardo, Luis Miguel Smale’s 17th problem: average polynomial time to compute affine and projective solutions. (English) Zbl 1206.90173 J. Am. Math. Soc. 22, No. 2, 363-385 (2009). MSC: 90C30 65H20 14Q20 12Y05 PDFBibTeX XMLCite \textit{C. Beltrán} and \textit{L. M. Pardo}, J. Am. Math. Soc. 22, No. 2, 363--385 (2009; Zbl 1206.90173) Full Text: DOI
Kirshtein, B. Kh. Complex roots of systems of tropical equations and stability of electrical power networks. (English) Zbl 1179.65053 Litvinov, G. L. (ed.) et al., Tropical and idempotent mathematics. International workshop TROPICAL-07, Moscow, Russia, August 25–30, 2007. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4782-4/pbk). Contemporary Mathematics 495, 213-238 (2009). MSC: 65H10 65H04 65H20 12Y05 14Q15 PDFBibTeX XMLCite \textit{B. Kh. Kirshtein}, Contemp. Math. 495, 213--238 (2009; Zbl 1179.65053)
Chebolu, Sunil; Mináč, Ján Absolute Galois groups viewed from small quotients and the Bloch-Kato conjecture. (English) Zbl 1227.11116 Baker, Andrew (ed.) et al., New topological contexts for Galois theory and algebraic geometry (BIRS 2008). Proceedings of the workshop, Banff, Canada, March 9–14, 2008. Coventry: Geometry & Topology Publications. Geometry and Topology Monographs 16, 31-47 (2009). Reviewer: Martin Epkenhans (Münster) MSC: 11R32 12F10 12G05 55P42 PDFBibTeX XMLCite \textit{S. Chebolu} and \textit{J. Mináč}, Geom. Topol. Monogr. 16, 31--47 (2009; Zbl 1227.11116) Full Text: arXiv
Baker, Andrew (ed.); Richter, Birgit (ed.) New topological contexts for Galois theory and algebraic geometry (BIRS 2008). Proceedings of the workshop, Banff, Canada, March 9–14, 2008. (English) Zbl 1172.12003 Geometry and Topology Monographs 16. Coventry: Geometry & Topology Publications. 592 p. (2009). MSC: 12-06 14-06 55-06 14H30 14F35 12Fxx 55Qxx 00B25 PDFBibTeX XMLCite \textit{A. Baker} (ed.) and \textit{B. Richter} (ed.), New topological contexts for Galois theory and algebraic geometry (BIRS 2008). Proceedings of the workshop, Banff, Canada, March 9--14, 2008. Coventry: Geometry \& Topology Publications (2009; Zbl 1172.12003)
Connes, Alain (ed.); Fauvet, Frédéric (ed.); Ramis, Jean-Pierre (ed.) Renormalization and Galois theories. Selected papers of the CIRM workshop, Luminy, France, March 2006. (English) Zbl 1173.14003 IRMA Lectures in Mathematics and Theoretical Physics 15. Zürich: European Mathematical Society (ISBN 978-3-03719-073-9/pbk). viii, 270 p. (2009). MSC: 14-06 81-06 12-06 00B25 81T15 81T75 14A22 14F42 12F10 PDFBibTeX XMLCite \textit{A. Connes} (ed.) et al., Renormalization and Galois theories. Selected papers of the CIRM workshop, Luminy, France, March 2006. Zürich: European Mathematical Society (2009; Zbl 1173.14003) Full Text: DOI
Szamuely, Tamás Galois groups and fundamental groups. (English) Zbl 1189.14002 Cambridge Studies in Advanced Mathematics 117. Cambridge: Cambridge University Press (ISBN 978-0-521-88850-9/hbk). ix, 270 p. (2009). Reviewer: Peter Jossen (Regensburg) MSC: 14-02 14E20 14H30 14F35 12F10 18D10 PDFBibTeX XMLCite \textit{T. Szamuely}, Galois groups and fundamental groups. Cambridge: Cambridge University Press (2009; Zbl 1189.14002)
Morgan, Alexander Solving polynomial systems using continuation for engineering and scientific problems. (English) Zbl 1170.65316 Classics in Applied Mathematics 57. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM). (ISBN 978-0-898716-78-8/pbk; 978-0-898719-03-1/ebook). xxiv, 303 p., references and index 535-546. (2009). MSC: 65H10 65-02 65H20 26C10 30C15 00A69 12Y05 PDFBibTeX XMLCite \textit{A. Morgan}, Solving polynomial systems using continuation for engineering and scientific problems. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM). (2009; Zbl 1170.65316) Full Text: DOI
Beltrán, Carlos; Shub, Michael Complexity of Bezout’s theorem. VII: Distance estimates in the condition metric. (English) Zbl 1175.65058 Found. Comput. Math. 9, No. 2, 179-195 (2009). MSC: 65H10 65H04 65H20 65Y20 12Y05 30C15 PDFBibTeX XMLCite \textit{C. Beltrán} and \textit{M. Shub}, Found. Comput. Math. 9, No. 2, 179--195 (2009; Zbl 1175.65058) Full Text: DOI
Shub, Michael Complexity of Bezout’s theorem. VI: Geodesics in the condition (number) metric. (English) Zbl 1175.65060 Found. Comput. Math. 9, No. 2, 171-178 (2009). MSC: 65H10 65H04 65H20 65Y20 12Y05 30C15 PDFBibTeX XMLCite \textit{M. Shub}, Found. Comput. Math. 9, No. 2, 171--178 (2009; Zbl 1175.65060) Full Text: DOI arXiv
Pacheco, Amílcar; Stevenson, Katherine F.; Zalesskii, Pavel Normal subgroups of the algebraic fundamental group of affine curves in positive characteristic. (English) Zbl 1184.14046 Math. Ann. 343, No. 2, 463-486 (2009); erratum ibid. 359, No. 3-4, 1115-1116 (2014). Reviewer: Arno Fehm (Tel Aviv) MSC: 14H30 12F10 14G32 14F35 20E18 PDFBibTeX XMLCite \textit{A. Pacheco} et al., Math. Ann. 343, No. 2, 463--486 (2009; Zbl 1184.14046) Full Text: DOI arXiv
Yu, Bo; Dong, Bo A hybrid polynomial system solving method for mixed trigonometric polynomial systems. (English) Zbl 1168.65025 SIAM J. Numer. Anal. 46, No. 3, 1503-1518 (2008). Reviewer: Costică Moroşanu (Iaşi) MSC: 65H10 65H20 68W30 12Y05 26C10 42A10 65T40 PDFBibTeX XMLCite \textit{B. Yu} and \textit{B. Dong}, SIAM J. Numer. Anal. 46, No. 3, 1503--1518 (2008; Zbl 1168.65025) Full Text: DOI
Bates, Daniel J.; Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler II, Charles W. Adaptive multiprecision path tracking. (English) Zbl 1162.65026 SIAM J. Numer. Anal. 46, No. 2, 722-746 (2008). MSC: 65H10 65H20 30C15 12Y05 14Q15 PDFBibTeX XMLCite \textit{D. J. Bates} et al., SIAM J. Numer. Anal. 46, No. 2, 722--746 (2008; Zbl 1162.65026) Full Text: DOI arXiv
Bates, Daniel J.; Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler, Charles W. II Software for numerical algebraic geometry: a paradigm and progress towards its implementation. (English) Zbl 1143.65344 Stillman, Michael E. (ed.) et al., Software for algebraic geometry. Papers of a workshop, Minneapolis, MN, USA, October 23–27, 2006. New York, NY: Springer (ISBN 978-0-387-78132-7/hbk). The IMA Volumes in Mathematics and its Applications 148, 1-14 (2008). MSC: 65H20 65H10 14Q15 12Y05 30C15 PDFBibTeX XMLCite \textit{D. J. Bates} et al., IMA Vol. Math. Appl. 148, 1--14 (2008; Zbl 1143.65344)
Sommese, Andrew J.; Verschelde, Jan; Wampler, Charles W. Solving polynomial systems equation by equation. (English) Zbl 1136.65052 Dickenstein, Alicia (ed.) et al., Algorithms in algebraic geometry. Based on the workshop, Minneapolis, MN, USA, September 18–22, 2006. New York, NY: Springer (ISBN 978-0-387-75154-2/hbk). The IMA Volumes in Mathematics and its Applications 146, 133-152 (2008). MSC: 65H10 65H20 13P05 14Q15 12Y05 30C15 PDFBibTeX XMLCite \textit{A. J. Sommese} et al., IMA Vol. Math. Appl. 146, 133--152 (2008; Zbl 1136.65052) Full Text: arXiv
Kuo, Y. C.; Li, T. Y. Determining dimension of the solution component that contains a computed zero of a polynomial system. (English) Zbl 1133.65028 J. Math. Anal. Appl. 338, No. 2, 840-851 (2008). MSC: 65H10 65H20 12Y05 30C15 13P05 PDFBibTeX XMLCite \textit{Y. C. Kuo} and \textit{T. Y. Li}, J. Math. Anal. Appl. 338, No. 2, 840--851 (2008; Zbl 1133.65028) Full Text: DOI
Rovinskii, M. Z. Automorphism groups of fields, and their representations. (English. Russian original) Zbl 1145.12002 Russ. Math. Surv. 62, No. 6, 1121-1186 (2007); translation from Usp. Mat. Nauk 62, No. 6, 87-156 (2007). Reviewer: Elmar Große-Klönne (Berlin) MSC: 12F10 14C25 14E05 14F42 19E15 PDFBibTeX XMLCite \textit{M. Z. Rovinskii}, Russ. Math. Surv. 62, No. 6, 1121--1186 (2007; Zbl 1145.12002); translation from Usp. Mat. Nauk 62, No. 6, 87--156 (2007) Full Text: DOI
Gómez Ruiz, Francisco Degree 2 polynomial maps from spheres to the two sphere over any field. (English) Zbl 1132.12001 Commun. Algebra 35, No. 12, 4105-4111 (2007). Reviewer: Thomas Püttmann (Bonn) MSC: 12D10 14P25 55Q40 PDFBibTeX XMLCite \textit{F. Gómez Ruiz}, Commun. Algebra 35, No. 12, 4105--4111 (2007; Zbl 1132.12001) Full Text: DOI
Tao, Yuhui; Liang, Heng; Bai, Fengshan A hybrid algorithm for multi-homogeneous Bézout number. (English) Zbl 1122.65356 Appl. Math. Comput. 189, No. 2, 1755-1764 (2007). MSC: 65H20 65H10 12Y05 26C10 30C15 PDFBibTeX XMLCite \textit{Y. Tao} et al., Appl. Math. Comput. 189, No. 2, 1755--1764 (2007; Zbl 1122.65356) Full Text: DOI
Leykin, Anton; Verschelde, Jan; Zhao, Ailing Evaluation of Jacobian matrices for Newton’s method with deflation to approximate isolated singular solutions of polynomial systems. (English) Zbl 1117.65074 Wang, Dongming (ed.) et al., Symbolic-numeric computation. Invited and contributed presentations given at the international workshop (SNC 2005), Xi’an, China, July 19–21 (2005). Basel: Birkhäuser (ISBN 978-3-7643-7983-4/hbk). Trends in Mathematics, 269-278 (2007). MSC: 65H10 12Y05 26C10 68W30 14Q15 PDFBibTeX XMLCite \textit{A. Leykin} et al., in: Symbolic-numeric computation. Invited and contributed presentations given at the international workshop (SNC 2005), Xi'an, China, July 19--21 (2005). Basel: Birkhäuser. 269--278 (2007; Zbl 1117.65074)
Mizutani, Tomohiko; Takeda, Akiko; Kojima, Masakazu Dynamic enumeration of all mixed cells. (English) Zbl 1113.65055 Discrete Comput. Geom. 37, No. 3, 351-367 (2007). MSC: 65H10 65H20 12Y05 30C15 26C10 PDFBibTeX XMLCite \textit{T. Mizutani} et al., Discrete Comput. Geom. 37, No. 3, 351--367 (2007; Zbl 1113.65055) Full Text: DOI
Leykin, Anton; Verschelde, Jan Interfacing with the numerical homotopy algorithms in PHCpack. (English) Zbl 1230.65061 Iglesias, Andrés (ed.) et al., Mathematical software – ICMS 2006. Second international congress on mathematical software, Castro Urdiales, Spain, September 1–3, 2006. Proceedings. Berlin: Springer (ISBN 978-3-540-38084-9/pbk). Lecture Notes in Computer Science 4151, 354-360 (2006). MSC: 65H20 12Y05 65Y15 PDFBibTeX XMLCite \textit{A. Leykin} and \textit{J. Verschelde}, Lect. Notes Comput. Sci. 4151, 354--360 (2006; Zbl 1230.65061) Full Text: DOI
Gunji, T.; Kim, S.; Fujisawa, K.; Kojima, M. PHoMpara-parallel implementation of the polyhedral homotopy continuation method for polynomial systems. (English) Zbl 1122.65048 Computing 77, No. 4, 387-411 (2006). MSC: 65H10 65H20 12Y05 26C10 30C15 PDFBibTeX XMLCite \textit{T. Gunji} et al., Computing 77, No. 4, 387--411 (2006; Zbl 1122.65048) Full Text: DOI
Leykin, Anton; Verschelde, Jan; Zhao, Ailing Newton’s method with deflation for isolated singularities of polynomial systems. (English) Zbl 1106.65046 Theor. Comput. Sci. 359, No. 1-3, 111-122 (2006). Reviewer: Sonia Pérez Díaz (Madrid) MSC: 65H10 68W30 12Y05 26C10 30C15 65H20 PDFBibTeX XMLCite \textit{A. Leykin} et al., Theor. Comput. Sci. 359, No. 1--3, 111--122 (2006; Zbl 1106.65046) Full Text: DOI arXiv
Hain, Richard; Matsumoto, Makoto Galois actions of fundamental groups of curves and the cycle \(C-C^-\). (English) Zbl 1094.14013 J. Inst. Math. Jussieu 4, No. 3, 363-403 (2005). Reviewer: Roberto Pignatelli (Povo) MSC: 14G32 11G30 14H30 12G05 14C25 14F35 PDFBibTeX XMLCite \textit{R. Hain} and \textit{M. Matsumoto}, J. Inst. Math. Jussieu 4, No. 3, 363--403 (2005; Zbl 1094.14013) Full Text: DOI arXiv
De Leo, M.; Dratman, E.; Matera, G. Numeric vs. symbolic homotopy algorithms in polynomial system solving: a case study. (English) Zbl 1098.65052 J. Complexity 21, No. 4, 502-531 (2005). Reviewer: Walter Zulehner (Linz) MSC: 65H20 68W30 68Q25 65H10 12Y05 26C10 65Y20 PDFBibTeX XMLCite \textit{M. De Leo} et al., J. Complexity 21, No. 4, 502--531 (2005; Zbl 1098.65052) Full Text: DOI
Sommese, Andrew J.; Wampler, Charles W. II The numerical solution of systems of polynomials. Arising in engineering and science. (English) Zbl 1091.65049 River Edge, NJ: World Scientific (ISBN 981-256-184-6/hbk; 978-981-256-772-7/ebook). xxii, 401 p. (2005). Reviewer: Zhen Mei (Toronto) MSC: 65H10 12Y05 26C10 30C15 14Q15 13P10 65H20 65-02 PDFBibTeX XMLCite \textit{A. J. Sommese} and \textit{C. W. Wampler II}, The numerical solution of systems of polynomials. Arising in engineering and science. River Edge, NJ: World Scientific (2005; Zbl 1091.65049) Full Text: DOI Link
Liang, Heng; Bai, Fengshan; Shi, Leyuan Computing the optimal partition of variables in multi-homogeneous homotopy methods. (English) Zbl 1098.65053 Appl. Math. Comput. 163, No. 2, 825-840 (2005). Reviewer: Walter Zulehner (Linz) MSC: 65H20 65H10 12Y05 26C15 65K05 90C27 PDFBibTeX XMLCite \textit{H. Liang} et al., Appl. Math. Comput. 163, No. 2, 825--840 (2005; Zbl 1098.65053) Full Text: DOI
Dettweiler, M. Construction of relative motives with interesting étale realization using the middle convolution. (English) Zbl 1098.14518 Tschinkel, Yuri (ed.), Mathematisches Institut, Georg-August-Universität Göttingen: Seminars Summer Term 2004.; Lecture notes from the seminars “Number theory”, “Algebraic geometry” and “Geometric methods in representation theory” held at the University of Göttingen, Göttingen, Germany, 2004. Göttingen: Universitätsdrucke Göttingen (ISBN 3-930457-70-9/pbk). 1-7 (2004). MSC: 14H30 12F12 20G15 14F42 14G99 11G99 PDFBibTeX XMLCite \textit{M. Dettweiler}, in: Mathematisches Institut, Georg-August-Universität Göttingen: Seminars Summer Term 2004. Lecture notes from the seminars ``Number theory'', ``Algebraic geometry'' and ``Geometric methods in representation theory'' held at the University of Göttingen, Göttingen, Germany, 2004. Göttingen: Universitätsdrucke Göttingen. 1--7 (2004; Zbl 1098.14518)
Liang, Heng; Liu, Xiaoyan; Bai, Fengshan Optimization problem in multi-homogeneous homotopy method. (English) Zbl 1064.65042 Optim. Methods Softw. 19, No. 3-4, 361-369 (2004). MSC: 65H20 65H10 12Y05 26C10 30C15 90C90 PDFBibTeX XMLCite \textit{H. Liang} et al., Optim. Methods Softw. 19, No. 3--4, 361--369 (2004; Zbl 1064.65042) Full Text: DOI
Kim, S.; Kojima, M. Numerical stability of path tracing in polyhedral homotopy continuation methods. (English) Zbl 1061.65042 Computing 73, No. 4, 329-348 (2004). MSC: 65H10 65H20 12Y05 26C10 30C15 PDFBibTeX XMLCite \textit{S. Kim} and \textit{M. Kojima}, Computing 73, No. 4, 329--348 (2004; Zbl 1061.65042) Full Text: DOI
Gunji, Takayuki; Kim, Sunyoung; Kojima, Masakazu; Takeda, Akiko; Fujisawa, Katsuki; Mizutani, Tomohiko PHoM – a polyhedral homotopy continuation method for polynomial systems. (English) Zbl 1061.65041 Computing 73, No. 1, 57-77 (2004). MSC: 65H10 65H20 12Y05 26C10 26C15 65Y15 PDFBibTeX XMLCite \textit{T. Gunji} et al., Computing 73, No. 1, 57--77 (2004; Zbl 1061.65041) Full Text: DOI
Harbater, David; Stevenson, Katherine F. Abhyankar’s local conjecture on fundamental groups. (English) Zbl 1119.12300 Christensen, Chris (ed.) et al., Algebra, arithmetic and geometry with applications. Papers from Shreeram S. Ahhyankar’s 70th birthday conference, Purdue University, West Lafayette, IN, USA, July 19–26, 2000. Berlin: Springer (ISBN 3-540-00475-0/pbk). 473-485 (2003). MSC: 12F10 14G32 14F35 PDFBibTeX XMLCite \textit{D. Harbater} and \textit{K. F. Stevenson}, in: Algebra, arithmetic and geometry with applications. Papers from Shreeram S. Ahhyankar's 70th birthday conference, Purdue University, West Lafayette, IN, USA, July 19--26, 2000. Berlin: Springer. 473--485 (2003; Zbl 1119.12300)
Abhyankar, Shreeram S. Musings in algebraic geometry with emphasis on Galois theory. (English) Zbl 1076.14001 Bull. Calcutta Math. Soc. 95, No. 6, 437-458 (2003). Reviewer: Zbigniew Hajto (Kraków) MSC: 14F35 13-XX 12F10 PDFBibTeX XMLCite \textit{S. S. Abhyankar}, Bull. Calcutta Math. Soc. 95, No. 6, 437--458 (2003; Zbl 1076.14001)
Li, T. Y. Numerical solution of polynomial systems by homotopy continuation methods. (English) Zbl 1059.65046 Cucker, F. (ed.), Handbook of numerical analysis. Vol. XI. Special volume: Foundations of computational mathematics. Amsterdam: North-Holland (ISBN 0-444-51247-0/hbk). Handb. Numer. Anal. 11, 209-304 (2003). Reviewer: W. C. Rheinboldt (Pittsburgh) MSC: 65H20 65H10 12Y05 26C10 30C15 PDFBibTeX XMLCite \textit{T. Y. Li}, Handb. Numer. Anal. 11, 209--304 (2003; Zbl 1059.65046)
Hain, Richard; Matsumoto, Makoto Tannakian fundamental groups associated to Galois groups. (English) Zbl 1117.14300 Schneps, Leila (ed.), Galois groups and fundamental groups. Cambridge: Cambridge University Press (ISBN 0-521-80831-6/hbk). Math. Sci. Res. Inst. Publ. 41, 183-216 (2003). MSC: 14G32 14H30 12F10 14F42 19E15 PDFBibTeX XMLCite \textit{R. Hain} and \textit{M. Matsumoto}, Math. Sci. Res. Inst. Publ. 41, 183--216 (2003; Zbl 1117.14300) Full Text: arXiv Link
Kahn, Bruno; Laghribi, Ahmed A second descent problem for quadratic forms. (English) Zbl 1108.11033 \(K\)-Theory 29, No. 4, 253-284 (2003). Reviewer: Detlev Hoffmann (Nottingham) MSC: 11E04 11E81 12G05 14F42 PDFBibTeX XMLCite \textit{B. Kahn} and \textit{A. Laghribi}, \(K\)-Theory 29, No. 4, 253--284 (2003; Zbl 1108.11033) Full Text: DOI
Rojas, J. Maurice Why polyhedra matter in nonlinear equation solving. (English) Zbl 1073.12007 Goldman, Ron (ed.) et al., Topics in algebraic geometry and geometric modeling. Proceedings of the workshop on algebraic geometry and geometric modeling, July 29–August 2, 2002, Vilnius, Lithuania. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3420-7/pbk). Contemp. Math. 334, 293-320 (2003). Reviewer: Annette A’Campo-Neuen (Basel) MSC: 12Y05 14M25 52B20 65H10 68W30 PDFBibTeX XMLCite \textit{J. M. Rojas}, Contemp. Math. 334, 293--320 (2003; Zbl 1073.12007) Full Text: arXiv
Hazaveh, K.; Jeffrey, D. J.; Reid, G. J.; Watt, S. M.; Wittkopf, A. D. An exploration of homotopy solving in Maple. (English) Zbl 1047.65033 Li, Ziming (ed.) et al., Computer mathematics. Proceedings of the sixth Asian symposium (ASCM 2003), Beijing, China, April 17–19, 2003. River Edge, NJ: World Scientific (ISBN 981-238-220-8/hbk). Lect. Notes Ser. Comput. 10, 145-162 (2003). MSC: 65H10 65L05 68W30 34A34 12Y05 26C10 30C15 PDFBibTeX XMLCite \textit{K. Hazaveh} et al., Lect. Notes Ser. Comput. 10, 145--162 (2003; Zbl 1047.65033)
Li, Ting; Lin, Zhenjiang; Bai, Fengshan Heuristic methods for computing the minimal multi-homogeneous Bézout number. (English) Zbl 1044.65042 Appl. Math. Comput. 146, No. 1, 237-256 (2003). Reviewer: Jürgen Guddat (Berlin) MSC: 65H20 65H10 12Y05 26C10 30C15 65Y20 PDFBibTeX XMLCite \textit{T. Li} et al., Appl. Math. Comput. 146, No. 1, 237--256 (2003; Zbl 1044.65042) Full Text: DOI
Sommese, Andrew J.; Verschelde, Jan; Wampler, Charles W. Numerical irreducible decomposition. (English) Zbl 1027.65066 Joswig, Michael (ed.) et al., Algebra, geometry, and software systems. Berlin: Springer. 109-129 (2003). Reviewer: Corina Mohorianu (Iaşi) MSC: 65H10 65Y15 12Y05 13P05 14Q15 68N30 68W30 PDFBibTeX XMLCite \textit{A. J. Sommese} et al., in: Algebra, geometry, and software systems. Berlin: Springer. 109--129 (2003; Zbl 1027.65066)
Theobald, Thorsten Computing amoebas. (English) Zbl 1100.14048 Exp. Math. 11, No. 4, 513-526 (2002). MSC: 14P25 12D10 26C10 65H20 PDFBibTeX XMLCite \textit{T. Theobald}, Exp. Math. 11, No. 4, 513--526 (2002; Zbl 1100.14048) Full Text: DOI EuDML
Batra, P. Simultaneous point estimates for Newton’s method. (English) Zbl 1020.65027 BIT 42, No. 3, 467-476 (2002). Reviewer: Alyson Reeves (Bowie) MSC: 65H05 12Y05 26C10 30C15 PDFBibTeX XMLCite \textit{P. Batra}, BIT 42, No. 3, 467--476 (2002; Zbl 1020.65027)
Sommese, Andrew J.; Verschelde, Jan; Wampler, Charles W. A method for tracking singular paths with application to the numerical irreducible decomposition. (English) Zbl 1014.65035 Beltrametti, Mauro C. (ed.) et al., Algebraic geometry. A volume in memory of Paolo Francia. Berlin: de Gruyter. 329-345 (2002). MSC: 65H10 12Y05 30C15 14Q15 26C10 65H20 68W30 PDFBibTeX XMLCite \textit{A. J. Sommese} et al., in: Algebraic geometry. A volume in memory of Paolo Francia. Berlin: de Gruyter. 329--345 (2002; Zbl 1014.65035)
Sommese, Andrew J.; Verschelde, Jan; Wampler, Charles W. Symmetric functions applied to decomposing solution sets of polynomial systems. (English) Zbl 1034.65034 SIAM J. Numer. Anal. 40, No. 6, 2026-2046 (2002). MSC: 65H10 13P05 12Y05 68W30 26C10 30C15 65H20 PDFBibTeX XMLCite \textit{A. J. Sommese} et al., SIAM J. Numer. Anal. 40, No. 6, 2026--2046 (2002; Zbl 1034.65034) Full Text: DOI
Markl, Martin Homotopy diagrams of algebras. (English) Zbl 1024.55012 Slovák, Jan (ed.) et al., The proceedings of the 21th winter school “Geometry and physics”, Srní, Czech Republic, January 13-20, 2001. Palermo: Circolo Matemàtico di Palermo, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 69, 161-180 (2002). Reviewer: K.H.Kamps (Hagen) MSC: 55U35 18G55 55U15 12H05 PDFBibTeX XMLCite \textit{M. Markl}, in: The proceedings of the 21st winter school ``Geometry and physics'', Srní, Czech Republic, January 13--20, 2001. Palermo: Circolo Matemàtico di Palermo. 161--180 (2002; Zbl 1024.55012) Full Text: arXiv
Amram, Meirav; Goldberg, David; Teicher, Mina; Vishne, Uzi The fundamental group of a Galois cover of \(\mathbb{C} \mathbb{P}^1 \times T\). (English) Zbl 1037.14006 Algebr. Geom. Topol. 2, 403-432 (2002). Reviewer: Isidro Nieto Baños (Guanajuato)) MSC: 14F35 14J80 12F10 20F36 14E20 14Q10 14N05 14G32 PDFBibTeX XMLCite \textit{M. Amram} et al., Algebr. Geom. Topol. 2, 403--432 (2002; Zbl 1037.14006) Full Text: DOI arXiv EuDML EMIS
Kotsireas, Illias s. Homotopies and polynomial system solving. I: Basic principles. (English) Zbl 1054.65052 SIGSAM Bull. 35, No. 1, 19-32 (2001). MSC: 65H10 65H20 68W30 12Y05 26C10 PDFBibTeX XMLCite \textit{I. s. Kotsireas}, SIGSAM Bull. 35, No. 1, 19--32 (2001; Zbl 1054.65052) Full Text: DOI
Kahn, Bruno; Sujatha, R. Unramified cohomology of quadrics. II. (English) Zbl 1049.11044 Duke Math. J. 106, No. 3, 449-484 (2001). Reviewer: Detlev Hoffmann (Nottingham) MSC: 11E81 11E04 12G05 14F42 19E15 PDFBibTeX XMLCite \textit{B. Kahn} and \textit{R. Sujatha}, Duke Math. J. 106, No. 3, 449--484 (2001; Zbl 1049.11044) Full Text: DOI
Sommese, Andrew J.; Verschelde, Jan; Wampler, Charles W. Numerical decomposition of the solution sets of polynomial systems into irreducible components. (English) Zbl 1002.65060 SIAM J. Numer. Anal. 38, No. 6, 2022-2046 (2001). Reviewer: René Lamour (Berlin) MSC: 65H10 65H20 68W30 12Y05 26C10 30C15 PDFBibTeX XMLCite \textit{A. J. Sommese} et al., SIAM J. Numer. Anal. 38, No. 6, 2022--2046 (2001; Zbl 1002.65060) Full Text: DOI
Denef, Jan; Loeser, François Definable sets, motives and \(p\)-adic integrals. (English) Zbl 1040.14010 J. Am. Math. Soc. 14, No. 2, 429-469 (2001). Reviewer: Werner Kleinert (Berlin) MSC: 14G40 14G20 03C10 03C98 03C68 03C95 12E30 12L12 14G15 14G27 11G25 11S40 12L10 14F20 14G05 14G10 14J20 14F42 PDFBibTeX XMLCite \textit{J. Denef} and \textit{F. Loeser}, J. Am. Math. Soc. 14, No. 2, 429--469 (2001; Zbl 1040.14010) Full Text: DOI arXiv
Li, Tiejun; Bai, Fengshan Minimizing multi-homogeneous Bézout numbers by a local search method. (English) Zbl 1013.65046 Math. Comput. 70, No. 234, 767-787 (2001). Reviewer: H.Matthies (Braunschweig) MSC: 65H10 65H20 12Y05 26C10 30C15 PDFBibTeX XMLCite \textit{T. Li} and \textit{F. Bai}, Math. Comput. 70, No. 234, 767--787 (2001; Zbl 1013.65046) Full Text: DOI
Li, Li; Zhang, Jian; Chen, Yong On the homotopy iteration method and its application in the mechanism problems. (Chinese. English summary) Zbl 1012.65047 J. Southwest Jiaotong Univ. 35, No. 1, 57-60 (2000). MSC: 65H10 65H20 12Y05 26C10 30C15 PDFBibTeX XMLCite \textit{L. Li} et al., J. Southwest Jiaotong Univ. 35, No. 1, 57--60 (2000; Zbl 1012.65047)
Gao, Tangan; Li, T. Y.; Verschelde, Jan; Wu, Mengnien Balancing the lifting values to improve the numerical stability of polyhedral homotopy continuation methods. (English) Zbl 1023.65048 Appl. Math. Comput. 114, No. 2-3, 233-247 (2000). MSC: 65H10 12Y05 26C10 30C15 62H20 PDFBibTeX XMLCite \textit{T. Gao} et al., Appl. Math. Comput. 114, No. 2--3, 233--247 (2000; Zbl 1023.65048) Full Text: DOI
Yao, Qingchuan Improved schemes on Durand-Kerner method and Aberth method. (English) Zbl 0967.65059 Int. J. Differ. Equ. Appl. 1A, No. 4, 459-467 (2000). Reviewer: Plamen Yordanov Yalamov (Russe) MSC: 65H05 12Y05 26C10 30C15 65H20 PDFBibTeX XMLCite \textit{Q. Yao}, Int. J. Differ. Equ. Appl. 1A, No. 4, 459--467 (2000; Zbl 0967.65059)
Yakoubsohn, Jean-Claude Finding a cluster of zeros of univariate polynomials. (English) Zbl 0974.65045 J. Complexity 16, No. 3, 603-638 (2000). Reviewer: F.Szidarovszky (Tucson) MSC: 65H05 12Y05 26C10 30C15 PDFBibTeX XMLCite \textit{J.-C. Yakoubsohn}, J. Complexity 16, No. 3, 603--638 (2000; Zbl 0974.65045) Full Text: DOI