Faulstich, Fabian M.; Oster, Mathias Coupled cluster theory: toward an algebraic geometry formulation. (English) Zbl 07824421 SIAM J. Appl. Algebra Geom. 8, No. 1, 138-188 (2024). MSC: 12D10 14Q20 90C53 81-08 81-10 PDFBibTeX XMLCite \textit{F. M. Faulstich} and \textit{M. Oster}, SIAM J. Appl. Algebra Geom. 8, No. 1, 138--188 (2024; Zbl 07824421) Full Text: DOI arXiv
Han, Bin Bin; Zhang, Wen Ting; Luo, Yan Feng; Zhao, Jin Xing Representations and identities of hypoplactic monoids with involution. (English) Zbl 07812994 Commun. Algebra 52, No. 3, 1038-1062 (2024). MSC: 20M07 20M30 05E99 12K10 16Y60 PDFBibTeX XMLCite \textit{B. B. Han} et al., Commun. Algebra 52, No. 3, 1038--1062 (2024; Zbl 07812994) Full Text: DOI arXiv
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
Zhang, Huhu; Gao, Xing; Guo, Li Compatible structures of nonsymmetric operads, Manin products and Koszul duality. (English) Zbl 07792579 Appl. Categ. Struct. 32, No. 1, Paper No. 2, 33 p. (2024). Reviewer: Loïc Foissy (Calais) MSC: 18M70 18M65 05C05 12H05 PDFBibTeX XMLCite \textit{H. Zhang} et al., Appl. Categ. Struct. 32, No. 1, Paper No. 2, 33 p. (2024; Zbl 07792579) Full Text: DOI arXiv
Kawasetsu, Kazuya On the commutant of the principal subalgebra in the \(A_1\) lattice vertex algebra. (English) Zbl 07786339 Lett. Math. Phys. 113, No. 6, Paper No. 123, 18 p. (2023). MSC: 17B69 81T40 17B67 12H05 PDFBibTeX XMLCite \textit{K. Kawasetsu}, Lett. Math. Phys. 113, No. 6, Paper No. 123, 18 p. (2023; Zbl 07786339) Full Text: DOI arXiv
Mikhalev, Alexander A.; Mustafa, Manat; Umirbaev, Ualbai Representations via differential algebras and equationally Noetherian algebras. (English) Zbl 07725314 J. Algebra 633, 814-830 (2023). Reviewer: Plamen Koshlukov (Campinas) MSC: 12H05 17B63 17B66 17D25 16P40 17A50 PDFBibTeX XMLCite \textit{A. A. Mikhalev} et al., J. Algebra 633, 814--830 (2023; Zbl 07725314) Full Text: DOI arXiv
Previato, Emma; Rueda, Sonia L.; Zurro, Maria-Angeles Burchnall-Chaundy polynomials for matrix ODOs and Picard-Vessiot theory. (English) Zbl 1520.13045 Physica D 453, Article ID 133811, 11 p. (2023). Reviewer: Sonia Pérez Díaz (Madrid) MSC: 13P15 12H05 PDFBibTeX XMLCite \textit{E. Previato} et al., Physica D 453, Article ID 133811, 11 p. (2023; Zbl 1520.13045) Full Text: DOI arXiv
Zhu, Zhicheng; Zhang, Huhu; Gao, Xing Free weighted (modified) differential algebras, free (modified) Rota-Baxter algebras and Gröbner-Shirshov bases. (English) Zbl 07713613 Int. J. Algebra Comput. 33, No. 4, 787-817 (2023). Reviewer: Loïc Foissy (Calais) MSC: 16S10 17B38 16Z10 12H05 16T30 PDFBibTeX XMLCite \textit{Z. Zhu} et al., Int. J. Algebra Comput. 33, No. 4, 787--817 (2023; Zbl 07713613) Full Text: DOI arXiv
Huang, Kaiyin; Shi, Shaoyun; Yang, Shuangling Differential Galoisian approach to Jacobi integrability of general analytic dynamical systems and its application. (English) Zbl 1526.37069 Sci. China, Math. 66, No. 7, 1473-1494 (2023). MSC: 37J30 32H04 34C14 34M03 34M15 34M45 12H05 12H20 PDFBibTeX XMLCite \textit{K. Huang} et al., Sci. China, Math. 66, No. 7, 1473--1494 (2023; Zbl 1526.37069) Full Text: DOI arXiv
Catanese, Fabrizio; Lönne, Michael; Perroni, Fabio Cyclic and abelian coverings of real varieties. (English) Zbl 1523.14099 Math. Ann. 386, No. 3-4, 1799-1827 (2023). Reviewer: Alex Degtyarev (Ankara) MSC: 14P99 14P25 14H30 30F50 12D99 PDFBibTeX XMLCite \textit{F. Catanese} et al., Math. Ann. 386, No. 3--4, 1799--1827 (2023; Zbl 1523.14099) Full Text: DOI arXiv
Bertapelle, Alessandra; Previato, Emma; Saha, Arnab Arithmetic jet spaces. (English) Zbl 1509.13027 J. Algebra 623, 127-153 (2023). MSC: 13F35 12H05 14A15 14E18 14G20 PDFBibTeX XMLCite \textit{A. Bertapelle} et al., J. Algebra 623, 127--153 (2023; Zbl 1509.13027) Full Text: DOI arXiv
D’Aquino, Paola (ed.); Eleftheriou, Pantelis E. (ed.); Sanchez, Omar Léon (ed.); Point, Francoise (ed.) Mini-workshop: Topological and differential expansions of o-minimal structures. Abstracts from the mini-workshop held November 27 – December 3, 2022. (English) Zbl 1521.00012 Oberwolfach Rep. 19, No. 4, 3005-3050 (2022). MSC: 00B05 00B25 03-06 12-06 03C45 03C60 03C64 03C98 12H05 11D61 PDFBibTeX XMLCite \textit{P. D'Aquino} (ed.) et al., Oberwolfach Rep. 19, No. 4, 3005--3050 (2022; Zbl 1521.00012) Full Text: DOI
Kaplan, Elliot \(T\)-convex \(T\)-differential fields and their immediate extensions. (English) Zbl 07655337 Pac. J. Math. 320, No. 2, 261-298 (2022). MSC: 03C64 12H05 12J10 PDFBibTeX XMLCite \textit{E. Kaplan}, Pac. J. Math. 320, No. 2, 261--298 (2022; Zbl 07655337) Full Text: DOI arXiv
Gorinov, Alexey Two-sided fundamental theorem of affine geometry. (English) Zbl 1504.51002 Arnold Math. J. 8, No. 3-4, 469-480 (2022). Reviewer: Victor V. Pambuccian (Glendale) MSC: 51A15 12E15 15A04 PDFBibTeX XMLCite \textit{A. Gorinov}, Arnold Math. J. 8, No. 3--4, 469--480 (2022; Zbl 1504.51002) Full Text: DOI arXiv
Kostov, Vladimir Petrov The disconnectedness of certain sets defined after uni-variate polynomials. (English) Zbl 1513.26020 Constr. Math. Anal. 5, No. 3, 119-133 (2022). MSC: 26C10 12D10 30C15 PDFBibTeX XMLCite \textit{V. P. Kostov}, Constr. Math. Anal. 5, No. 3, 119--133 (2022; Zbl 1513.26020) Full Text: DOI arXiv
El Hilany, Boulos Counting isolated points outside the image of a polynomial map. (English) Zbl 1491.14081 Adv. Geom. 22, No. 3, 355-374 (2022). MSC: 14P10 14E05 12D10 52B20 14M25 13P15 14P25 PDFBibTeX XMLCite \textit{B. El Hilany}, Adv. Geom. 22, No. 3, 355--374 (2022; Zbl 1491.14081) Full Text: DOI arXiv
Bai, Chengming; Guo, Li; Sheng, Yunhe Coherent categorical structures for Lie bialgebras, Manin triples, classical \(r\)-matrices and pre-Lie algebras. (English) Zbl 1500.17021 Forum Math. 34, No. 4, 989-1013 (2022). Reviewer: Alexander B. Levin (Washington) MSC: 17B62 17B38 16T10 16T25 12H10 16W99 57R56 PDFBibTeX XMLCite \textit{C. Bai} et al., Forum Math. 34, No. 4, 989--1013 (2022; Zbl 1500.17021) Full Text: DOI arXiv
Peng, Xiao-Song; Zhang, Yi; Gao, Xing; Luo, Yan-Feng Universal enveloping of (modified) \(\lambda\)-differential Lie algebras. (English) Zbl 1496.16025 Linear Multilinear Algebra 70, No. 6, 1102-1127 (2022). Reviewer: Laurent Poinsot (Villetaneuse) MSC: 16S30 16S10 17B35 17B60 12H05 PDFBibTeX XMLCite \textit{X.-S. Peng} et al., Linear Multilinear Algebra 70, No. 6, 1102--1127 (2022; Zbl 1496.16025) Full Text: DOI
Morales, Juan J.; Rueda, Sonia L.; Zurro, Maria-Angeles Spectral Picard-Vessiot fields for algebro-geometric Schrödinger operators. (Corps spectraux de Picard-Vessiot pour les opérateurs de Schrödinger algébro-géométriques.) (English. French summary) Zbl 1492.12004 Ann. Inst. Fourier 71, No. 3, 1287-1324 (2021). Reviewer: Teresa Crespo (Barcelona) MSC: 12H05 34M15 PDFBibTeX XMLCite \textit{J. J. Morales} et al., Ann. Inst. Fourier 71, No. 3, 1287--1324 (2021; Zbl 1492.12004) Full Text: DOI arXiv
Dreyfus, Thomas; Weil, Jacques-Arthur Differential Galois theory and integration. (English) Zbl 1489.12019 Bluemlein, Johannes (ed.) et al., Anti-differentiation and the calculation of Feynman amplitudes. Selected papers based on the presentations at the conference, Zeuthen, Germany, October 2020. Cham: Springer. Texts Monogr. Symb. Comput., 145-171 (2021). Reviewer: Andy R. Magid (Norman) MSC: 12H05 PDFBibTeX XMLCite \textit{T. Dreyfus} and \textit{J.-A. Weil}, in: Anti-differentiation and the calculation of Feynman amplitudes. Selected papers based on the presentations at the conference, Zeuthen, Germany, October 2020. Cham: Springer. 145--171 (2021; Zbl 1489.12019) Full Text: DOI arXiv
Masuoka, Akira; Shimada, Yuta Twisted forms of differential Lie algebras over \(\mathbb{C}(t)\) associated with complex simple Lie algebras. (English) Zbl 1495.17015 Arnold Math. J. 7, No. 1, 107-134 (2021). Reviewer: Dmitry Artamonov (Moskva) MSC: 17B20 12H05 14L15 16T05 PDFBibTeX XMLCite \textit{A. Masuoka} and \textit{Y. Shimada}, Arnold Math. J. 7, No. 1, 107--134 (2021; Zbl 1495.17015) Full Text: DOI arXiv
Ehrlich, Philip; Kaplan, Elliot Surreal ordered exponential fields. (English) Zbl 1495.03057 J. Symb. Log. 86, No. 3, 1066-1115 (2021); erratum ibid. 87, No. 2, 871 (2022). Reviewer: Lothar Sebastian Krapp (Konstanz) MSC: 03C64 12J15 12L12 PDFBibTeX XMLCite \textit{P. Ehrlich} and \textit{E. Kaplan}, J. Symb. Log. 86, No. 3, 1066--1115 (2021; Zbl 1495.03057) Full Text: DOI arXiv
Crespo, Teresa; Hajto, Zbigniew; Mohseni, Rouzbeh Real Liouvillian extensions of partial differential fields. (English) Zbl 1491.12004 SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 095, 16 p. (2021). Reviewer: Michael F. Singer (Raleigh) MSC: 12H05 37J35 12D15 14P05 PDFBibTeX XMLCite \textit{T. Crespo} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 095, 16 p. (2021; Zbl 1491.12004) Full Text: DOI arXiv
El Hilany, Boulos A note on polynomial maps having fibers of maximal dimension. (English) Zbl 1482.14051 Colloq. Math. 166, No. 1, 129-136 (2021). MSC: 14M25 12D10 14E05 52B20 PDFBibTeX XMLCite \textit{B. El Hilany}, Colloq. Math. 166, No. 1, 129--136 (2021; Zbl 1482.14051) Full Text: DOI arXiv
Arakawa, Tomoyuki; Kawasetsu, Kazuya; Sebag, Julien A question of Joseph Ritt from the point of view of vertex algebras. (English) Zbl 1477.12002 J. Algebra 588, 118-128 (2021). MSC: 12H05 16S32 17B69 PDFBibTeX XMLCite \textit{T. Arakawa} et al., J. Algebra 588, 118--128 (2021; Zbl 1477.12002) Full Text: DOI arXiv
Afsharijoo, Pooneh Looking for a new version of Gordon’s identities. (English) Zbl 1472.05013 Ann. Comb. 25, No. 3, 543-571 (2021). MSC: 05A17 05A19 12H05 13D40 13P10 PDFBibTeX XMLCite \textit{P. Afsharijoo}, Ann. Comb. 25, No. 3, 543--571 (2021; Zbl 1472.05013) 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
Belotto da Silva, André; Curmi, Octave; Rond, Guillaume A proof of A. Gabrielov’s rank theorem. (Théorème du rang de Gabrielov.) (English. French summary) Zbl 1477.13046 J. Éc. Polytech., Math. 8, 1329-1396 (2021). Reviewer: Karl-Heinz Kiyek (Paderborn) MSC: 13J05 32B05 12J10 13A18 13B35 14B05 14B20 32A22 30C10 32S45 PDFBibTeX XMLCite \textit{A. Belotto da Silva} et al., J. Éc. Polytech., Math. 8, 1329--1396 (2021; Zbl 1477.13046) Full Text: DOI arXiv
Seiler, Werner M.; Seiß, Matthias; Sturm, Thomas A logic based approach to finding real singularities of implicit ordinary differential equations. (English) Zbl 1500.34015 Math. Comput. Sci. 15, No. 2, 333-352 (2021). MSC: 34A09 34A26 34C05 12H05 13P10 68W30 PDFBibTeX XMLCite \textit{W. M. Seiler} et al., Math. Comput. Sci. 15, No. 2, 333--352 (2021; Zbl 1500.34015) Full Text: DOI arXiv
Carl, Merlin; Krapp, Lothar Sebastian Models of true arithmetic are integer parts of models of real exponentation. (English) Zbl 1493.03005 J. Log. Anal. 13, Paper No. 3, 21 p. (2021). Reviewer: Ali Bleybel (Beirut) MSC: 03C62 03C64 06A05 03C60 03H15 12J15 12L12 PDFBibTeX XMLCite \textit{M. Carl} and \textit{L. S. Krapp}, J. Log. Anal. 13, Paper No. 3, 21 p. (2021; Zbl 1493.03005) Full Text: DOI arXiv
Duisengaliyeva, Bibinur; Umirbaev, Ualbai Differential algebraic dependence and Novikov dependence. (English) Zbl 1475.12008 Linear Multilinear Algebra 69, No. 6, 1061-1071 (2021). Reviewer: Alexander B. Levin (Washington) MSC: 12H05 17D25 12L05 13P10 17A50 PDFBibTeX XMLCite \textit{B. Duisengaliyeva} and \textit{U. Umirbaev}, Linear Multilinear Algebra 69, No. 6, 1061--1071 (2021; Zbl 1475.12008) Full Text: DOI arXiv
Wolfson, Jesse Tschirnhaus transformations after Hilbert. (English) Zbl 1509.14055 Enseign. Math. (2) 66, No. 3-4, 489-540 (2020). MSC: 14G25 11C08 12E12 PDFBibTeX XMLCite \textit{J. Wolfson}, Enseign. Math. (2) 66, No. 3--4, 489--540 (2020; Zbl 1509.14055) Full Text: DOI arXiv
Gorinov, Alexey; Howard, Ralph; Johnson, Virginia; McNulty, George F. Maps that must be affine or conjugate affine: a problem of Vladimir Arnold. (English) Zbl 1451.51002 Arnold Math. J. 6, No. 2, 213-229 (2020). Reviewer: Victor V. Pambuccian (Glendale) MSC: 51A05 12J99 PDFBibTeX XMLCite \textit{A. Gorinov} et al., Arnold Math. J. 6, No. 2, 213--229 (2020; Zbl 1451.51002) Full Text: DOI
Kazaryan, G. G.; Margaryan, V. N. On the infinite increase of a class of polynomials. (English. Russian original) Zbl 1470.35145 J. Contemp. Math. Anal., Armen. Acad. Sci. 55, No. 4, 248-258 (2020); translation from Izv. Nats. Akad. Nauk Armen., Mat. 55, No. 4, 47-64 (2020). MSC: 35H10 12D10 PDFBibTeX XMLCite \textit{G. G. Kazaryan} and \textit{V. N. Margaryan}, J. Contemp. Math. Anal., Armen. Acad. Sci. 55, No. 4, 248--258 (2020; Zbl 1470.35145); translation from Izv. Nats. Akad. Nauk Armen., Mat. 55, No. 4, 47--64 (2020) Full Text: DOI
Elmandouh, A. A. On the integrability of new examples of two-dimensional Hamiltonian systems in curved spaces. (English) Zbl 1490.37077 Commun. Nonlinear Sci. Numer. Simul. 90, Article ID 105368, 11 p. (2020). MSC: 37J35 37J30 37J39 12H05 PDFBibTeX XMLCite \textit{A. A. Elmandouh}, Commun. Nonlinear Sci. Numer. Simul. 90, Article ID 105368, 11 p. (2020; Zbl 1490.37077) Full Text: DOI
Sharipov, R. A. Multiple discriminants and extreme values of polynomials in several variables. (English. Russian original) Zbl 1469.12002 J. Math. Sci., New York 245, No. 1, 89-97 (2020); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 143, 87-94 (2017). MSC: 12D10 PDFBibTeX XMLCite \textit{R. A. Sharipov}, J. Math. Sci., New York 245, No. 1, 89--97 (2020; Zbl 1469.12002); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 143, 87--94 (2017) Full Text: DOI
Morales-Ruiz, Juan J.; Rueda, Sonia L.; Zurro, Maria-Angeles Factorization of KdV Schrödinger operators using differential subresultants. (English) Zbl 1444.14064 Adv. Appl. Math. 120, Article ID 102065, 31 p. (2020). Reviewer: Ahmed Lesfari (El Jadida) MSC: 14H70 12H05 13P15 35Q53 PDFBibTeX XMLCite \textit{J. J. Morales-Ruiz} et al., Adv. Appl. Math. 120, Article ID 102065, 31 p. (2020; Zbl 1444.14064) Full Text: DOI arXiv
Emiris, Ioannis; Mourrain, Bernard; Tsigaridas, Elias Separation bounds for polynomial systems. (English) Zbl 1446.68202 J. Symb. Comput. 101, 128-151 (2020). MSC: 68W30 12D10 13P15 65H04 68Q25 PDFBibTeX XMLCite \textit{I. Emiris} et al., J. Symb. Comput. 101, 128--151 (2020; Zbl 1446.68202) Full Text: DOI HAL
Mináč, Ján; Palaisti, Marina; Pasini, Federico W.; Tân, Nguyễn Duy Enhanced Koszul properties in Galois cohomology. (English) Zbl 1439.12009 Res. Math. Sci. 7, No. 2, Paper No. 10, 34 p. (2020). Reviewer: Pierre Guillot (Strasbourg) MSC: 12G05 16S37 16E05 11E81 PDFBibTeX XMLCite \textit{J. Mináč} et al., Res. Math. Sci. 7, No. 2, Paper No. 10, 34 p. (2020; Zbl 1439.12009) Full Text: DOI arXiv
Szumiński, W.; Przybylska, M. Differential Galois integrability obstructions for nonlinear three-dimensional differential systems. (English) Zbl 1431.37049 Chaos 30, No. 1, 013135, 12 p. (2020). MSC: 37J30 12H05 PDFBibTeX XMLCite \textit{W. Szumiński} and \textit{M. Przybylska}, Chaos 30, No. 1, 013135, 12 p. (2020; Zbl 1431.37049) Full Text: DOI
Crespo, Teresa; Hajto, Zbigniew Picard-Vessiot extensions of real differential fields. (English) Zbl 1447.12004 SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 100, 11 p. (2019). Reviewer: Mykola Grygorenko (Kyïv) MSC: 12H05 13B05 14P05 12D15 PDFBibTeX XMLCite \textit{T. Crespo} and \textit{Z. Hajto}, SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 100, 11 p. (2019; Zbl 1447.12004) Full Text: DOI
Li, Wei; Yuan, Chun-Ming Elimination theory in differential and difference algebra. (English) Zbl 1448.12003 J. Syst. Sci. Complex. 32, No. 1, 287-316 (2019). Reviewer: Andy R. Magid (Norman) MSC: 12H05 12H10 68W40 PDFBibTeX XMLCite \textit{W. Li} and \textit{C.-M. Yuan}, J. Syst. Sci. Complex. 32, No. 1, 287--316 (2019; Zbl 1448.12003) Full Text: DOI
Bihan, Frédéric; Santos, Francisco; Spaenlehauer, Pierre-Jean A polyhedral method for sparse systems with many positive solutions. (English) Zbl 1473.14111 SIAM J. Appl. Algebra Geom. 2, No. 4, 620-645 (2018). MSC: 14P25 13P15 14Q15 52B12 12D10 14M10 PDFBibTeX XMLCite \textit{F. Bihan} et al., SIAM J. Appl. Algebra Geom. 2, No. 4, 620--645 (2018; Zbl 1473.14111) Full Text: DOI arXiv
Orieux, M.; Caillau, J.-B.; Combot, T.; Féjoz, J. Non-integrability of the minimum-time Kepler problem. (English) Zbl 1407.70025 J. Geom. Phys. 132, 452-459 (2018). MSC: 70H07 37J30 12H05 34M45 70F07 49K15 PDFBibTeX XMLCite \textit{M. Orieux} et al., J. Geom. Phys. 132, 452--459 (2018; Zbl 1407.70025) Full Text: DOI arXiv
Zharinov, V. V. Hamiltonian operators in differential algebras. (English. Russian original) Zbl 1386.81082 Theor. Math. Phys. 193, No. 3, 1725-1736 (2017); translation from Teor. Mat. Fiz. 193, No. 3, 369-380 (2017). MSC: 81Q10 37K05 37K25 12H05 17B63 81T80 PDFBibTeX XMLCite \textit{V. V. Zharinov}, Theor. Math. Phys. 193, No. 3, 1725--1736 (2017; Zbl 1386.81082); translation from Teor. Mat. Fiz. 193, No. 3, 369--380 (2017) Full Text: DOI arXiv
Weimann, Martin Bivariate factorization using a critical fiber. (English) Zbl 1415.13014 Found. Comput. Math. 17, No. 5, 1219-1263 (2017). MSC: 13P05 12Y05 14H20 14Q05 PDFBibTeX XMLCite \textit{M. Weimann}, Found. Comput. Math. 17, No. 5, 1219--1263 (2017; Zbl 1415.13014) Full Text: DOI arXiv
Binyamini, Gal Bezout-type theorems for differential fields. (English) Zbl 1376.12006 Compos. Math. 153, No. 4, 867-888 (2017). MSC: 12H05 03C60 14G05 PDFBibTeX XMLCite \textit{G. Binyamini}, Compos. Math. 153, No. 4, 867--888 (2017; Zbl 1376.12006) 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
Tran, Timothy C. Continuity of the asymptotics of expected zeros of fewnomials. (English) Zbl 1408.32006 J. Geom. Anal. 27, No. 1, 525-556 (2017). MSC: 32A60 60D05 12D10 14Q99 PDFBibTeX XMLCite \textit{T. C. Tran}, J. Geom. Anal. 27, No. 1, 525--556 (2017; Zbl 1408.32006) Full Text: DOI arXiv
Holweck, Frédéric; Luque, Jean-Gabriel; Thibon, Jean-Yves Entanglement of four-qubit systems: A geometric atlas with polynomial compass II (the tame world). (English) Zbl 1357.81028 J. Math. Phys. 58, No. 2, 022201, 33 p. (2017). MSC: 81P40 12D10 14J81 PDFBibTeX XMLCite \textit{F. Holweck} et al., J. Math. Phys. 58, No. 2, 022201, 33 p. (2017; Zbl 1357.81028) Full Text: DOI arXiv
Gao, Xing; Guo, Li Rota’s classification problem, rewriting systems and Gröbner-Shirshov bases. (English) Zbl 1423.16047 J. Algebra 470, 219-253 (2017). MSC: 16Z05 12H05 13P10 16S15 16W99 68Q42 PDFBibTeX XMLCite \textit{X. Gao} and \textit{L. Guo}, J. Algebra 470, 219--253 (2017; Zbl 1423.16047) Full Text: DOI arXiv
Eaves, B. Curtis; Rothblum, Uriel G. Generating approximate parametric roots of parametric polynomials. (English) Zbl 1368.12006 Ann. Oper. Res. 241, No. 1-2, 515-573 (2016). MSC: 12Y05 68W30 12J25 26C10 65H04 PDFBibTeX XMLCite \textit{B. C. Eaves} and \textit{U. G. Rothblum}, Ann. Oper. Res. 241, No. 1--2, 515--573 (2016; Zbl 1368.12006) Full Text: DOI
Esterov, Alexander; Gusev, Gleb Multivariate Abel-Ruffini. (English) Zbl 1371.14059 Math. Ann. 365, No. 3-4, 1091-1110 (2016). Reviewer: Serge Lawrencenko (Moskva) MSC: 14M25 12F10 20B15 52B20 PDFBibTeX XMLCite \textit{A. Esterov} and \textit{G. Gusev}, Math. Ann. 365, No. 3--4, 1091--1110 (2016; Zbl 1371.14059) Full Text: DOI arXiv
Macintyre, Angus Turing meets Schanuel. (English) Zbl 1432.03063 Ann. Pure Appl. Logic 167, No. 10, 901-938 (2016). MSC: 03C60 11U09 03C57 03D45 12L12 PDFBibTeX XMLCite \textit{A. Macintyre}, Ann. Pure Appl. Logic 167, No. 10, 901--938 (2016; Zbl 1432.03063) Full Text: DOI
Boulier, François; Lemaire, François; Lallemand, Joseph; Regensburger, Georg; Rosenkranz, Markus Additive normal forms and integration of differential fractions. (English) Zbl 1338.65062 J. Symb. Comput. 77, 16-38 (2016). MSC: 65D30 41A20 12H05 PDFBibTeX XMLCite \textit{F. Boulier} et al., J. Symb. Comput. 77, 16--38 (2016; Zbl 1338.65062) Full Text: DOI
Bajbar, Tomáš; Stein, Oliver Coercive polynomials and their Newton polytopes. (English) Zbl 1322.90092 SIAM J. Optim. 25, No. 3, 1542-1570 (2015). MSC: 90C30 26C05 11C08 12E10 14P10 52B20 90C26 PDFBibTeX XMLCite \textit{T. Bajbar} and \textit{O. Stein}, SIAM J. Optim. 25, No. 3, 1542--1570 (2015; Zbl 1322.90092) Full Text: DOI Link
Li, Wei; Yuan, Chun-Ming; Gao, Xiao-Shan Sparse differential resultant for Laurent differential polynomials. (English) Zbl 1315.12003 Found. Comput. Math. 15, No. 2, 451-517 (2015). MSC: 12H05 68W30 14M25 14Q99 PDFBibTeX XMLCite \textit{W. Li} et al., Found. Comput. Math. 15, No. 2, 451--517 (2015; Zbl 1315.12003) Full Text: DOI arXiv
Guersenzvaig, N. H.; Szechtman, Fernando Generalized Artin-Schreier polynomials. (English) Zbl 1336.12001 J. Algebra Appl. 14, No. 6, Article ID 1550084, 16 p. (2015). MSC: 12E10 12F10 17B50 15A21 PDFBibTeX XMLCite \textit{N. H. Guersenzvaig} and \textit{F. Szechtman}, J. Algebra Appl. 14, No. 6, Article ID 1550084, 16 p. (2015; Zbl 1336.12001) Full Text: DOI arXiv
Gandhi, Ratnik; Chatterji, Samaresh Applications of algebra for some game theoretic problems. (English) Zbl 1319.91016 Int. J. Found. Comput. Sci. 26, No. 1, 51-78 (2015). MSC: 91A10 65H05 13P10 68Q25 12E30 PDFBibTeX XMLCite \textit{R. Gandhi} and \textit{S. Chatterji}, Int. J. Found. Comput. Sci. 26, No. 1, 51--78 (2015; Zbl 1319.91016) Full Text: DOI
Langlois, Kevin Polyhedral divisors and torus actions of complexity one over arbitrary fields. (English) Zbl 1333.14061 J. Pure Appl. Algebra 219, No. 6, 2015-2045 (2015); corrigendum ibid. 225, No. 1, Article ID 106457, 1 p. (2021). MSC: 14R20 14M25 12F10 PDFBibTeX XMLCite \textit{K. Langlois}, J. Pure Appl. Algebra 219, No. 6, 2015--2045 (2015; Zbl 1333.14061) Full Text: DOI arXiv HAL
Makar-Limanov, Leonid On the Newton polygon of a Jacobian mate. (English) Zbl 1327.14257 Cheltsov, Ivan (ed.) et al., Automorphisms in birational and affine geometry. Papers based on the presentations at the conference, Levico Terme, Italy, October 29 – November 3, 2012. Cham: Springer (ISBN 978-3-319-05680-7/hbk; 978-3-319-05681-4/ebook). Springer Proceedings in Mathematics & Statistics 79, 469-476 (2014). MSC: 14R15 12E05 12E12 PDFBibTeX XMLCite \textit{L. Makar-Limanov}, Springer Proc. Math. Stat. 79, 469--476 (2014; Zbl 1327.14257) Full Text: DOI
Cámara, Alberto Locally convex structures on higher local fields. (English) Zbl 1312.12003 J. Number Theory 143, 185-213 (2014). Reviewer: Valeriu Popa (Chişinău) MSC: 12J10 46S10 30G06 PDFBibTeX XMLCite \textit{A. Cámara}, J. Number Theory 143, 185--213 (2014; Zbl 1312.12003) Full Text: DOI arXiv
Bytsenko, A. A.; Chaichian, M.; Szabo, R. J.; Tureanu, A. Quantum black holes, elliptic genera and spectral partition functions. (English) Zbl 1295.83038 Int. J. Geom. Methods Mod. Phys. 11, No. 5, Article ID 1450048, 42 p. (2014). MSC: 83C57 81T30 83C45 83E30 14J32 12G10 51P05 83E50 81T40 PDFBibTeX XMLCite \textit{A. A. Bytsenko} et al., Int. J. Geom. Methods Mod. Phys. 11, No. 5, Article ID 1450048, 42 p. (2014; Zbl 1295.83038) Full Text: DOI arXiv
Herrero, María Isabel; Jeronimo, Gabriela; Sabia, Juan Elimination for generic sparse polynomial systems. (English) Zbl 1310.68261 Discrete Comput. Geom. 51, No. 3, 578-599 (2014). MSC: 68W30 12E05 13P15 14Q15 65F99 68Q25 PDFBibTeX XMLCite \textit{M. I. Herrero} et al., Discrete Comput. Geom. 51, No. 3, 578--599 (2014; Zbl 1310.68261) Full Text: DOI arXiv
Gao, Xing; Guo, Li; Zheng, Shanghua Construction of free commutative integro-differential algebras by the method of Gröbner-Shirshov bases. (English) Zbl 1317.16022 J. Algebra Appl. 13, No. 5, Article ID 1350160, 38 p. (2014). MSC: 16S15 13P10 12H05 13N15 68W30 PDFBibTeX XMLCite \textit{X. Gao} et al., J. Algebra Appl. 13, No. 5, Article ID 1350160, 38 p. (2014; Zbl 1317.16022) Full Text: DOI arXiv
Gorchinskiy, Sergey; Ovchinnikov, Alexey Isomonodromic differential equations and differential categories. (English) Zbl 1332.12011 J. Math. Pures Appl. (9) 102, No. 1, 48-78 (2014). MSC: 12H20 13N10 20G05 34M56 37K20 58A12 PDFBibTeX XMLCite \textit{S. Gorchinskiy} and \textit{A. Ovchinnikov}, J. Math. Pures Appl. (9) 102, No. 1, 48--78 (2014; Zbl 1332.12011) Full Text: DOI arXiv
Gao, Xing; Guo, Li Constructions of free commutative integro-differential algebras. (English) Zbl 1375.16013 Barkatou, Moulay (ed.) et al., Algebraic and algorithmic aspects of differential and integral operators. 5th international meeting, AADIOS 2012, held at the applications of computer algebra conference, ACA 2012, Sofia, Bulgaria, June 25–28, 2012. Selected and invited papers. Berlin: Springer (ISBN 978-3-642-54478-1/pbk). Lecture Notes in Computer Science 8372, 1-22 (2014). MSC: 16S15 12H05 13N15 13P10 47G20 PDFBibTeX XMLCite \textit{X. Gao} and \textit{L. Guo}, Lect. Notes Comput. Sci. 8372, 1--22 (2014; Zbl 1375.16013) Full Text: DOI arXiv
Mironov, Andrey; Nakayashiki, Atsushi Discretization of Baker-Akhiezer modules and commuting difference operators in several discrete variables. (English. Russian original) Zbl 1351.12001 Trans. Mosc. Math. Soc. 2013, 261-279 (2013); translation from Tr. Mosk. Mat. O.-va 74, No. 2, 317-338 (2013). MSC: 12H10 39A70 47B39 PDFBibTeX XMLCite \textit{A. Mironov} and \textit{A. Nakayashiki}, Trans. Mosc. Math. Soc. 2013, 261--279 (2013; Zbl 1351.12001); translation from Tr. Mosk. Mat. O.-va 74, No. 2, 317--338 (2013) Full Text: DOI arXiv
Dönch, Christian; Levin, Alexander Bivariate dimension polynomials and new invariants of finitely generated \(D\)-modules. (English) Zbl 1303.13027 Int. J. Algebra Comput. 23, No. 7, 1625-1651 (2013). Reviewer: Amit Tripathi (Bangalore) MSC: 13N10 12H05 16S32 13C15 PDFBibTeX XMLCite \textit{C. Dönch} and \textit{A. Levin}, Int. J. Algebra Comput. 23, No. 7, 1625--1651 (2013; Zbl 1303.13027) Full Text: DOI
Hasegawa, Takehiro Remarks on a paper by Maharaj and Wulftange. (English) Zbl 1287.11134 J. Pure Appl. Algebra 217, No. 1, 1-10 (2013). Reviewer: Enric Nart Viñals (Barcelona) MSC: 11R58 11G20 12F05 94B27 PDFBibTeX XMLCite \textit{T. Hasegawa}, J. Pure Appl. Algebra 217, No. 1, 1--10 (2013; Zbl 1287.11134) Full Text: DOI
Lazrag, Lanouar Double tangent extension method and first integrals. (English) Zbl 1283.34002 J. Math. Phys. 53, No. 6, 062703, 20 p. (2012). Reviewer: Werner M. Seiler (Kassel) MSC: 34A05 37J35 12H05 PDFBibTeX XMLCite \textit{L. Lazrag}, J. Math. Phys. 53, No. 6, 062703, 20 p. (2012; Zbl 1283.34002) Full Text: DOI
Quarez, Ronan Symmetric determinantal representation of polynomials. (English) Zbl 1238.47010 Linear Algebra Appl. 436, No. 9, 3642-3660 (2012). Reviewer: Mohammad Sal Moslehian (Mashhad) MSC: 47A56 12D05 15A15 PDFBibTeX XMLCite \textit{R. Quarez}, Linear Algebra Appl. 436, No. 9, 3642--3660 (2012; Zbl 1238.47010) Full Text: DOI
Aparicio-Monforte, Ainhoa; Weil, Jacques-Arthur A reduced form for linear differential systems and its application to integrability of Hamiltonian systems. (English) Zbl 1269.37026 J. Symb. Comput. 47, No. 2, 192-213 (2012). Reviewer: Primitivo Belén Acosta-Humánez (Barranquilla) MSC: 37J30 12H05 34A05 34A30 PDFBibTeX XMLCite \textit{A. Aparicio-Monforte} and \textit{J.-A. Weil}, J. Symb. Comput. 47, No. 2, 192--213 (2012; Zbl 1269.37026) Full Text: DOI arXiv
Berceanu, S.; Gheorghe, A. On the geometry of Siegel-Jacobi domains. (English) Zbl 1250.22010 Int. J. Geom. Methods Mod. Phys. 8, No. 8, 1783-1798 (2011). Reviewer: Nicolae Cotfas (Bucureşti) MSC: 22E30 20G05 11F50 12E10 81R30 PDFBibTeX XMLCite \textit{S. Berceanu} and \textit{A. Gheorghe}, Int. J. Geom. Methods Mod. Phys. 8, No. 8, 1783--1798 (2011; Zbl 1250.22010) Full Text: DOI arXiv
Morozov, A.; Shakirov, Sh. Analogue of the identity Log Det = Trace Log for resultants. (English) Zbl 1214.15005 J. Geom. Phys. 61, No. 3, 708-726 (2011). Reviewer: Mihail Voicu (Iaşi) MSC: 15A15 12E05 PDFBibTeX XMLCite \textit{A. Morozov} and \textit{Sh. Shakirov}, J. Geom. Phys. 61, No. 3, 708--726 (2011; Zbl 1214.15005) Full Text: DOI arXiv
Herrero, María Isabel; Jeronimo, Gabriela; Sabia, Juan Computing isolated roots of sparse polynomial systems in affine space. (English) Zbl 1241.65046 Theor. Comput. Sci. 411, No. 44-46, 3894-3904 (2010). Reviewer: Adrian Atanasiu (Bucharest) MSC: 65H10 65H04 12D10 03D15 65Y20 68W30 PDFBibTeX XMLCite \textit{M. I. Herrero} et al., Theor. Comput. Sci. 411, No. 44--46, 3894--3904 (2010; Zbl 1241.65046) Full Text: DOI
Kostov, Vladimir P. Interlacing properties and the Schur-Szegő composition. (English) Zbl 1245.12002 Funct. Anal. Other Math. 3, No. 1, 65-74 (2010). MSC: 12D10 PDFBibTeX XMLCite \textit{V. P. Kostov}, Funct. Anal. Other Math. 3, No. 1, 65--74 (2010; Zbl 1245.12002) Full Text: DOI arXiv
Oishi-Tomiyasu, Ryoko On some algebraic properties of CM-types of CM-fields and their reflexes. (English) Zbl 1232.11072 J. Number Theory 130, No. 11, 2442-2466 (2010). Reviewer: Wayne Raskind (Tempe) MSC: 11G15 14K22 12F10 PDFBibTeX XMLCite \textit{R. Oishi-Tomiyasu}, J. Number Theory 130, No. 11, 2442--2466 (2010; Zbl 1232.11072) Full Text: DOI arXiv
Lavallée, Sylvain; Perrin, Dominique; Retakh, Vladimir; Reutenauer, Christophe Codes and noncommutative stochastic matrices. (English) Zbl 1202.15036 J. Noncommut. Geom. 4, No. 4, 531-554 (2010). Reviewer: John D. Dixon (Ottawa) MSC: 15B51 12E15 94A45 20M35 15A15 15B33 PDFBibTeX XMLCite \textit{S. Lavallée} et al., J. Noncommut. Geom. 4, No. 4, 531--554 (2010; Zbl 1202.15036) Full Text: DOI
Sawicki, Adam; Kuś, Marek Classical nonintegrability of a quantum chaotic \(SU(3)\) Hamiltonian system. (English) Zbl 1186.37065 Physica D 239, No. 10, 719-726 (2010). MSC: 37J30 70H07 81Q50 12H05 PDFBibTeX XMLCite \textit{A. Sawicki} and \textit{M. Kuś}, Physica D 239, No. 10, 719--726 (2010; Zbl 1186.37065) Full Text: DOI arXiv
Casale, Guy Morales-Ramis theorems via Malgrange pseudogroup. (English) Zbl 1232.12005 Ann. Inst. Fourier 59, No. 7, 2593-2610 (2009). Reviewer: Rakib Efendiev (Baku) MSC: 12H05 37J30 34M15 37C10 58H05 PDFBibTeX XMLCite \textit{G. Casale}, Ann. Inst. Fourier 59, No. 7, 2593--2610 (2009; Zbl 1232.12005) Full Text: DOI EuDML Link
Jeronimo, Gabriela; Matera, Guillermo; Solernó, Pablo; Waissbein, Ariel Deformation techniques for sparse systems. (English) Zbl 1167.14039 Found. Comput. Math. 9, No. 1, 1-50 (2009). MSC: 14Q05 52B20 68W30 12Y05 13F25 14Q20 68W40 PDFBibTeX XMLCite \textit{G. Jeronimo} et al., Found. Comput. Math. 9, No. 1, 1--50 (2009; Zbl 1167.14039) Full Text: DOI arXiv
Marshall, Ian; Semenov-Tian-Shansky, Michael Poisson groups and differential Galois theory of Schrödinger equation on the circle. (English) Zbl 1165.37029 Commun. Math. Phys. 284, No. 2, 537-552 (2008). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 37K10 58D25 81R12 12H05 37K65 35Q53 PDFBibTeX XMLCite \textit{I. Marshall} and \textit{M. Semenov-Tian-Shansky}, Commun. Math. Phys. 284, No. 2, 537--552 (2008; Zbl 1165.37029) Full Text: DOI arXiv
Previato, Emma Multivariable Burchnall-Chaundy theory. (English) Zbl 1153.37420 Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 366, No. 1867, 1155-1177 (2008). MSC: 37K10 12H05 14H70 PDFBibTeX XMLCite \textit{E. Previato}, Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 366, No. 1867, 1155--1177 (2008; Zbl 1153.37420) Full Text: DOI
Kostov, Vladimir Petrov On multiplier sequences. (English) Zbl 1206.12001 Theor. Comput. Sci. 392, No. 1-3, 101-112 (2008). MSC: 12D10 26C10 PDFBibTeX XMLCite \textit{V. P. Kostov}, Theor. Comput. Sci. 392, No. 1--3, 101--112 (2008; Zbl 1206.12001) Full Text: DOI
Khovanskii, A. G. Variations on the theme of solvability by radicals. (English. Russian original) Zbl 1182.30009 Proc. Steklov Inst. Math. 259, 82-100 (2007); translation from Tr. Mat. Inst. Steklova 259, 86-105 (2007). Reviewer: Werner Kleinert (Berlin) MSC: 30C15 12D10 12E12 30F10 12F10 14H55 PDFBibTeX XMLCite \textit{A. G. Khovanskii}, Proc. Steklov Inst. Math. 259, 82--100 (2007; Zbl 1182.30009); translation from Tr. Mat. Inst. Steklova 259, 86--105 (2007) Full Text: DOI
Morales-Ruiz, Juan J.; Ramis, Jean-Pierre; Simó, Carles Integrability of Hamiltonian systems and differential Galois groups of higher variational equations. (English) Zbl 1144.37023 Ann. Sci. Éc. Norm. Supér. (4) 40, No. 6, 845-884 (2007). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 37J30 37J35 12H05 37F10 34M35 PDFBibTeX XMLCite \textit{J. J. Morales-Ruiz} et al., Ann. Sci. Éc. Norm. Supér. (4) 40, No. 6, 845--884 (2007; Zbl 1144.37023) Full Text: DOI Numdam EuDML
Zheglov, A. B.; Osipov, D. V. On some questions related to the Krichever correspondence. (English. Russian original) Zbl 1134.14023 Math. Notes 81, No. 4, 467-476 (2007); translation from Mat. Zametki 81, No. 4, 528-539 (2007). Reviewer: Francisco José Plaza Martín (Salamanca) MSC: 14H70 12E15 PDFBibTeX XMLCite \textit{A. B. Zheglov} and \textit{D. V. Osipov}, Math. Notes 81, No. 4, 467--476 (2007; Zbl 1134.14023); translation from Mat. Zametki 81, No. 4, 528--539 (2007) Full Text: DOI arXiv
Jeronimo, Gabriela; Sabia, Juan Computing multihomogeneous resultants using straight-line programs. (English) Zbl 1207.65056 J. Symb. Comput. 42, No. 1-2, 218-235 (2007). MSC: 65H10 65H04 12Y05 65Y20 68W30 PDFBibTeX XMLCite \textit{G. Jeronimo} and \textit{J. Sabia}, J. Symb. Comput. 42, No. 1--2, 218--235 (2007; Zbl 1207.65056) Full Text: DOI
Kostov, Vladimir Petrov On root arrangements for hyperbolic polynomial-like functions and their derivatives. (English) Zbl 1139.12003 Bull. Sci. Math. 131, No. 5, 477-492 (2007). MSC: 12D10 26C10 PDFBibTeX XMLCite \textit{V. P. Kostov}, Bull. Sci. Math. 131, No. 5, 477--492 (2007; Zbl 1139.12003) 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
Kostov, Vladimir Petrov On polynomial-like functions. (English) Zbl 1155.12300 Bull. Sci. Math. 129, No. 9, 775-781 (2005). MSC: 12D10 26C10 PDFBibTeX XMLCite \textit{V. P. Kostov}, Bull. Sci. Math. 129, No. 9, 775--781 (2005; Zbl 1155.12300) Full Text: DOI
Maciejewski, Andrzej J.; Przybylska, Maria Differential Galois approach to the non-integrability of the heavy top problem. (English) Zbl 1089.70002 Ann. Fac. Sci. Toulouse, VI. Sér., Math. 14, No. 1, 123-160 (2005). MSC: 70E40 70E17 12H05 PDFBibTeX XMLCite \textit{A. J. Maciejewski} and \textit{M. Przybylska}, Ann. Fac. Sci. Toulouse, Math. (6) 14, No. 1, 123--160 (2005; Zbl 1089.70002) Full Text: DOI arXiv Numdam EuDML
Maharaj, Hiren; Wulftange, Jörg On the construction of tame towers over finite fields. (English) Zbl 1128.11054 J. Pure Appl. Algebra 199, No. 1-3, 197-218 (2005). MSC: 11R58 11G20 12F05 94B27 PDFBibTeX XMLCite \textit{H. Maharaj} and \textit{J. Wulftange}, J. Pure Appl. Algebra 199, No. 1--3, 197--218 (2005; Zbl 1128.11054) Full Text: DOI
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
Kostov, Vladimir Petrov Very hyperbolic and stably hyperbolic polynomials. (English. Abridged French version) Zbl 1070.14059 C. R., Math., Acad. Sci. Paris 339, No. 3, 157-162 (2004). Reviewer: Jose F. Fernando Galván (Madrid) MSC: 14P99 12D10 26C10 PDFBibTeX XMLCite \textit{V. P. Kostov}, C. R., Math., Acad. Sci. Paris 339, No. 3, 157--162 (2004; Zbl 1070.14059) Full Text: DOI
Malajovich, Gregorio; Rojas, J. Maurice High probability analysis of the condition number of sparse polynomial systems. (English) Zbl 1067.65053 Theor. Comput. Sci. 315, No. 2-3, 525-555 (2004). Reviewer: János Karátson (Budapest) MSC: 65H10 60G60 12Y05 26C10 PDFBibTeX XMLCite \textit{G. Malajovich} and \textit{J. M. Rojas}, Theor. Comput. Sci. 315, No. 2--3, 525--555 (2004; Zbl 1067.65053) Full Text: DOI arXiv
Castro, D.; Pardo, Luis M.; Hägele, K.; Morais, J. E. Kronecker’s and Newton’s approaches to solving: a first comparison. (English) Zbl 1013.68296 J. Complexity 17, No. 1, 212-303 (2001). MSC: 68W30 68Q25 68Q17 68W05 65H05 12Y05 PDFBibTeX XMLCite \textit{D. Castro} et al., J. Complexity 17, No. 1, 212--303 (2001; Zbl 1013.68296) Full Text: DOI arXiv
Morales-Ruiz, Juan J.; Peris, Josep Maria On a Galoisian approach to the splitting of separatrices. (English) Zbl 0971.34076 Ann. Fac. Sci. Toulouse, VI. Sér., Math. 8, No. 1, 125-141 (1999). Reviewer: G.V.Khmelevskaja-Plotnikova (Namur) MSC: 34M15 12H05 12H20 PDFBibTeX XMLCite \textit{J. J. Morales-Ruiz} and \textit{J. M. Peris}, Ann. Fac. Sci. Toulouse, Math. (6) 8, No. 1, 125--141 (1999; Zbl 0971.34076) Full Text: DOI Numdam EuDML
Gao, Tangan; Li, T. Y.; Wang, Xiaoshen Finding all isolated zeros of polynomial systems in \(\mathbb{C}^n\) via stable mixed volumes. (English) Zbl 0944.65055 J. Symb. Comput. 28, No. 1-2, 187-211 (1999). Reviewer: Alyson Reeves (Bowie) MSC: 65H10 32A60 65H20 12Y05 30C15 PDFBibTeX XMLCite \textit{T. Gao} et al., J. Symb. Comput. 28, No. 1--2, 187--211 (1999; Zbl 0944.65055) Full Text: DOI