Duff, T.; Telen, S.; Walker, E.; Yahl, T. Polyhedral homotopies in Cox coordinates. (English) Zbl 07793928 J. Algebra Appl. 23, No. 4, Article ID 2450073, 35 p. (2024). MSC: 13P15 14M25 68W30 PDFBibTeX XMLCite \textit{T. Duff} et al., J. Algebra Appl. 23, No. 4, Article ID 2450073, 35 p. (2024; Zbl 07793928) Full Text: DOI arXiv
Duff, Timothy; Leykin, Anton; Rodriguez, Jose Israel \(u\)-generation: solving systems of polynomials equation-by-equation. (English) Zbl 07792401 Numer. Algorithms 95, No. 2, 813-838 (2024). Reviewer: Nikolay Kyurkchiev (Plovdiv) MSC: 65H20 65H10 14Q65 68W30 PDFBibTeX XMLCite \textit{T. Duff} et al., Numer. Algorithms 95, No. 2, 813--838 (2024; Zbl 07792401) Full Text: DOI arXiv
Duff, Timothy; Regan, Margaret Polynomial systems, homotopy continuation, and applications. (English) Zbl 1522.65081 Notices Am. Math. Soc. 70, No. 1, 151-155 (2023). MSC: 65H20 14Q65 PDFBibTeX XMLCite \textit{T. Duff} and \textit{M. Regan}, Notices Am. Math. Soc. 70, No. 1, 151--155 (2023; Zbl 1522.65081) Full Text: DOI
Bachmann, Tom; Wickelgren, Kirsten On quadratically enriched excess and residual intersections. (English) Zbl 07733740 J. Reine Angew. Math. 802, 77-123 (2023). MSC: 14F42 14N15 14-02 14C17 PDFBibTeX XMLCite \textit{T. Bachmann} and \textit{K. Wickelgren}, J. Reine Angew. Math. 802, 77--123 (2023; Zbl 07733740) Full Text: DOI arXiv
Lee, Kisun; Tang, Xindong On the polyhedral homotopy method for solving generalized Nash equilibrium problems of polynomials. (English) Zbl 1519.91013 J. Sci. Comput. 95, No. 1, Paper No. 13, 26 p. (2023); correction ibid. 95, No. 3, Paper No. 83, 2 p. (2023). MSC: 91A11 65H14 90C23 PDFBibTeX XMLCite \textit{K. Lee} and \textit{X. Tang}, J. Sci. Comput. 95, No. 1, Paper No. 13, 26 p. (2023; Zbl 1519.91013) Full Text: DOI arXiv
Pauli, Sabrina Computing \(\mathbb{A}^1\)-Euler numbers with Macaulay2. (English) Zbl 1521.14103 Res. Math. Sci. 10, No. 3, Paper No. 26, 14 p. (2023). Reviewer: Stephen McKean (Cambridge, MA) MSC: 14Q10 14N15 14F42 14G27 PDFBibTeX XMLCite \textit{S. Pauli}, Res. Math. Sci. 10, No. 3, Paper No. 26, 14 p. (2023; Zbl 1521.14103) Full Text: DOI arXiv
Burr, M.; Sottile, F.; Walker, E. Numerical homotopies from Khovanskii bases. (English) Zbl 1519.14047 Math. Comput. 92, No. 343, 2333-2353 (2023). Reviewer: Gema Maria Diaz Toca (Murcia) MSC: 14M25 68W30 65H10 65H20 PDFBibTeX XMLCite \textit{M. Burr} et al., Math. Comput. 92, No. 343, 2333--2353 (2023; Zbl 1519.14047) Full Text: DOI arXiv
Duff, Timothy; Ruddy, Michael Signatures of algebraic curves via numerical algebraic geometry. (English) Zbl 1507.14047 J. Symb. Comput. 115, 452-477 (2023). Reviewer: Hans-Peter Schröcker (Innsbruck) MSC: 14H50 65H20 14Q05 53A55 PDFBibTeX XMLCite \textit{T. Duff} and \textit{M. Ruddy}, J. Symb. Comput. 115, 452--477 (2023; Zbl 1507.14047) Full Text: DOI arXiv
Breiding, P.; Sottile, F.; Woodcock, J. Euclidean distance degree and mixed volume. (English) Zbl 1505.14124 Found. Comput. Math. 22, No. 6, 1743-1765 (2022). Reviewer: Timothy Duff (Seattle) MSC: 14Qxx 13P25 14M25 90C26 PDFBibTeX XMLCite \textit{P. Breiding} et al., Found. Comput. Math. 22, No. 6, 1743--1765 (2022; Zbl 1505.14124) Full Text: DOI arXiv
Eager, Richard; Hahner, Fabian; Saberi, Ingmar; Williams, Brian R. Perspectives on the pure spinor superfield formalism. (English) Zbl 1504.53066 J. Geom. Phys. 180, Article ID 104626, 47 p. (2022). MSC: 53C27 58C50 53Z05 15A66 15A67 PDFBibTeX XMLCite \textit{R. Eager} et al., J. Geom. Phys. 180, Article ID 104626, 47 p. (2022; Zbl 1504.53066) Full Text: DOI arXiv
Milivojević, Aleksandar On the characterization of rational homotopy types and Chern classes of closed almost complex manifolds. (English) Zbl 1496.32040 Complex Manifolds 9, 138-169 (2022). MSC: 32Q60 55P62 57N65 57R65 PDFBibTeX XMLCite \textit{A. Milivojević}, Complex Manifolds 9, 138--169 (2022; Zbl 1496.32040) Full Text: DOI
Quick, Gereon; Strand, Therese; Wilson, Glen Matthew Representability of the local motivic Brouwer degree. (English) Zbl 1498.14051 Math. Scand. 128, No. 1, 54-77 (2022). MSC: 14F42 14B05 55M25 PDFBibTeX XMLCite \textit{G. Quick} et al., Math. Scand. 128, No. 1, 54--77 (2022; Zbl 1498.14051) Full Text: DOI arXiv
Brysiewicz, Taylor; Rodriguez, Jose Israel; Sottile, Frank; Yahl, Thomas Decomposable sparse polynomial systems. (English) Zbl 1483.14087 J. Softw. Algebra Geom. 11, 53-59 (2021). MSC: 14M25 65H10 65H20 PDFBibTeX XMLCite \textit{T. Brysiewicz} et al., J. Softw. Algebra Geom. 11, 53--59 (2021; Zbl 1483.14087) Full Text: DOI arXiv
Rodriguez, Jose Israel; Du, Jin-Hong; You, Yiling; Lim, Lek-Heng Fiber product homotopy method for multiparameter eigenvalue problems. (English) Zbl 1473.65061 Numer. Math. 148, No. 4, 853-888 (2021). MSC: 65H20 65H17 65H10 35P30 PDFBibTeX XMLCite \textit{J. I. Rodriguez} et al., Numer. Math. 148, No. 4, 853--888 (2021; Zbl 1473.65061) Full Text: DOI arXiv
Pauli, Sabrina; Wickelgren, Kirsten Applications to \(\mathbb{A}^1\)-enumerative geometry of the \(\mathbb{A}^1\)-degree. (English) Zbl 1469.14047 Res. Math. Sci. 8, No. 2, Paper No. 24, 29 p. (2021). Reviewer: Ben Williams (Vancouver) MSC: 14F42 14N10 55M25 PDFBibTeX XMLCite \textit{S. Pauli} and \textit{K. Wickelgren}, Res. Math. Sci. 8, No. 2, Paper No. 24, 29 p. (2021; Zbl 1469.14047) Full Text: DOI arXiv
Leykin, Anton; Del Campo, Abraham Martín; Sottile, Frank; Vakil, Ravi; Verschelde, Jan Numerical Schubert calculus via the Littlewood-Richardson homotopy algorithm. (English) Zbl 1468.14093 Math. Comput. 90, No. 329, 1407-1433 (2021). Reviewer: Sonia Pérez Díaz (Madrid) MSC: 14N15 65H10 14Q65 PDFBibTeX XMLCite \textit{A. Leykin} et al., Math. Comput. 90, No. 329, 1407--1433 (2021; Zbl 1468.14093) Full Text: DOI arXiv
Brysiewicz, Taylor Numerical software to compute Newton polytopes and tropical membership. (English) Zbl 1474.14002 Math. Comput. Sci. 14, No. 3, 577-589 (2020). MSC: 14-04 14M25 65H20 14T15 14Q99 PDFBibTeX XMLCite \textit{T. Brysiewicz}, Math. Comput. Sci. 14, No. 3, 577--589 (2020; Zbl 1474.14002) Full Text: DOI arXiv
Hauenstein, Jonathan D.; Rodriguez, Jose Israel Multiprojective witness sets and a trace test. (English) Zbl 1448.65054 Adv. Geom. 20, No. 3, 297-318 (2020). Reviewer: Luca Chiantini (Siena) MSC: 65H20 14Q15 PDFBibTeX XMLCite \textit{J. D. Hauenstein} and \textit{J. I. Rodriguez}, Adv. Geom. 20, No. 3, 297--318 (2020; Zbl 1448.65054) Full Text: DOI arXiv
Duff, Timothy; Hill, Cvetelina; Jensen, Anders; Lee, Kisun; Leykin, Anton; Sommars, Jeff Solving polynomial systems via homotopy continuation and monodromy. (English) Zbl 1462.65055 IMA J. Numer. Anal. 39, No. 3, 1421-1446 (2019). MSC: 65H20 PDFBibTeX XMLCite \textit{T. Duff} et al., IMA J. Numer. Anal. 39, No. 3, 1421--1446 (2019; Zbl 1462.65055) Full Text: DOI arXiv
Chen, Justin; Kileel, Joe Numerical implicitization: a Macaulay2 package. (English) Zbl 1430.14112 J. Softw. Algebra Geom. 9, 55-63 (2019). Reviewer: Sonia Pérez Díaz (Madrid) MSC: 14Q65 14-04 65H14 PDFBibTeX XMLCite \textit{J. Chen} and \textit{J. Kileel}, J. Softw. Algebra Geom. 9, No. 1, 55--63 (2019; Zbl 1430.14112) Full Text: DOI arXiv
Bliss, Nathan; Duff, Timothy; Leykin, Anton; Sommars, Jeff Monodromy solver. Sequential and parallel. (English) Zbl 1467.65055 Arreche, Carlos (ed.), Proceedings of the 43rd international symposium on symbolic and algebraic computation, ISSAC 2018, New York, NY, USA, July 16–19, 2018. New York, NY: Association for Computing Machinery (ACM). 87-94 (2018). MSC: 65H20 14Q20 68W20 PDFBibTeX XMLCite \textit{N. Bliss} et al., in: Proceedings of the 43rd international symposium on symbolic and algebraic computation, ISSAC 2018, New York, NY, USA, July 16--19, 2018. New York, NY: Association for Computing Machinery (ACM). 87--94 (2018; Zbl 1467.65055) Full Text: DOI arXiv
Hauenstein, Jonathan D.; Rodriguez, Jose Israel; Sottile, Frank Numerical computation of Galois groups. (English) Zbl 1442.14186 Found. Comput. Math. 18, No. 4, 867-890 (2018). Reviewer: Sonia Pérez Díaz (Madrid) MSC: 14Q65 65H14 65H20 PDFBibTeX XMLCite \textit{J. D. Hauenstein} et al., Found. Comput. Math. 18, No. 4, 867--890 (2018; Zbl 1442.14186) Full Text: DOI arXiv
Leykin, Anton Homotopy continuation in Macaulay2. (English) Zbl 1395.13028 Davenport, James H. (ed.) et al., Mathematical software – ICMS 2018. 6th international conference, South Bend, IN, USA, July 24–27, 2018. Proceedings. Cham: Springer (ISBN 978-3-319-96417-1/pbk; 978-3-319-96418-8/ebook). Lecture Notes in Computer Science 10931, 328-334 (2018). MSC: 13P10 14Qxx 65H10 PDFBibTeX XMLCite \textit{A. Leykin}, Lect. Notes Comput. Sci. 10931, 328--334 (2018; Zbl 1395.13028) Full Text: DOI
Coss, Owen; Hauenstein, Jonathan D.; Hong, Hoon; Molzahn, Daniel K. Locating and counting equilibria of the Kuramoto model with rank-one coupling. (English) Zbl 1428.65003 SIAM J. Appl. Algebra Geom. 2, No. 1, 45-71 (2018). MSC: 65H14 14Q65 34C15 68W30 34C60 PDFBibTeX XMLCite \textit{O. Coss} et al., SIAM J. Appl. Algebra Geom. 2, No. 1, 45--71 (2018; Zbl 1428.65003) Full Text: DOI arXiv
Kileel, Joe Minimal problems for the calibrated trifocal variety. (English) Zbl 1386.14185 SIAM J. Appl. Algebra Geom. 1, No. 1, 575-598 (2017). Reviewer: Carlos Hermoso Ortíz (Madrid) MSC: 14M20 14Q15 14N99 15A69 65H20 68T45 PDFBibTeX XMLCite \textit{J. Kileel}, SIAM J. Appl. Algebra Geom. 1, No. 1, 575--598 (2017; Zbl 1386.14185) Full Text: DOI arXiv
Suciu, Alexander I.; Wang, He Pure virtual braids, resonance, and formality. (English) Zbl 1423.20034 Math. Z. 286, No. 3-4, 1495-1524 (2017). MSC: 20F36 16S37 20F14 20F40 20J05 55P62 57M07 PDFBibTeX XMLCite \textit{A. I. Suciu} and \textit{H. Wang}, Math. Z. 286, No. 3--4, 1495--1524 (2017; Zbl 1423.20034) Full Text: DOI arXiv
Leykin, Anton; Plaumann, Daniel Determinantal representations of hyperbolic curves via polynomial homotopy continuation. (English) Zbl 1393.14055 Math. Comput. 86, No. 308, 2877-2888 (2017). Reviewer: Nelly Villamizar (Linz) MSC: 14Q05 14Q99 65F40 90C22 PDFBibTeX XMLCite \textit{A. Leykin} and \textit{D. Plaumann}, Math. Comput. 86, No. 308, 2877--2888 (2017; Zbl 1393.14055) Full Text: DOI arXiv
Martín del Campo, Abraham; Rodriguez, Jose Israel Critical points via monodromy and local methods. (English) Zbl 1365.14003 J. Symb. Comput. 79, Part 3, 559-574 (2017). Reviewer: Noémie Combe (Marseille) MSC: 14-XX 68W30 PDFBibTeX XMLCite \textit{A. Martín del Campo} and \textit{J. I. Rodriguez}, J. Symb. Comput. 79, Part 3, 559--574 (2017; Zbl 1365.14003) Full Text: DOI arXiv
Leykin, Anton Polynomial homotopy continuation in Macaulay2. (English) Zbl 1365.68499 ACM Commun. Comput. Algebra 50, No. 3, 113-116 (2016). MSC: 68W30 14-04 14F35 PDFBibTeX XMLCite \textit{A. Leykin}, ACM Commun. Comput. Algebra 50, No. 3, 113--116 (2016; Zbl 1365.68499) Full Text: DOI
Bliss, Nathan; Verschelde, Jan Computing all space curve solutions of polynomial systems by polyhedral methods. (English) Zbl 1453.13084 Gerdt, Vladimir P. (ed.) et al., Computer algebra in scientific computing. 18th international workshop, CASC 2016, Bucharest, Romania, September 19–23, 2016. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 9890, 73-86 (2016). MSC: 13P15 14M25 14T15 65H10 65H20 68W30 PDFBibTeX XMLCite \textit{N. Bliss} and \textit{J. Verschelde}, Lect. Notes Comput. Sci. 9890, 73--86 (2016; Zbl 1453.13084) Full Text: DOI arXiv
Marco-Buzunariz, Miguel Ángel; Rodríguez, Marcos SIROCCO: a library for certified polynomial root continuation. (English) Zbl 1437.14010 Greuel, Gert-Martin (ed.) et al., Mathematical software – ICMS 2016. 5th international conference, Berlin, Germany, July 11–14, 2016. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 9725, 191-197 (2016). MSC: 14-04 14Q05 14Q65 65G30 PDFBibTeX XMLCite \textit{M. Á. Marco-Buzunariz} and \textit{M. Rodríguez}, Lect. Notes Comput. Sci. 9725, 191--197 (2016; Zbl 1437.14010) Full Text: DOI
Jensen, Anders; Leykin, Anton; Yu, Josephine Computing tropical curves via homotopy continuation. (English) Zbl 1350.14045 Exp. Math. 25, No. 1, 83-93 (2016). Reviewer: Nikita Kalinin (Col. San Pedro Zacatenco) MSC: 14T05 14Q05 57M25 65H20 PDFBibTeX XMLCite \textit{A. Jensen} et al., Exp. Math. 25, No. 1, 83--93 (2016; Zbl 1350.14045) Full Text: DOI arXiv
Bliss, Nathan; Sommars, Jeff; Verschelde, Jan; Yu, Xiangcheng Solving polynomial systems in the cloud with polynomial homotopy continuation. (English) Zbl 1439.13078 Gerdt, Vladimir P. (ed.) et al., Computer algebra in scientific computing. 17th international workshop, CASC 2015, Aachen, Germany, September 14–18, 2015. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 9301, 87-100 (2015). MSC: 13P15 13-04 65H14 14Q65 68W30 65H10 PDFBibTeX XMLCite \textit{N. Bliss} et al., Lect. Notes Comput. Sci. 9301, 87--100 (2015; Zbl 1439.13078) Full Text: DOI arXiv
Rodriguez, Jose Israel Combinatorial excess intersection. (English) Zbl 1316.14111 J. Symb. Comput. 68, Part 2, 297-307 (2015). Reviewer: Carlos D’Andrea (Barcelona) MSC: 14Qxx 65H20 68W30 PDFBibTeX XMLCite \textit{J. I. Rodriguez}, J. Symb. Comput. 68, Part 2, 297--307 (2015; Zbl 1316.14111) Full Text: DOI arXiv
Bates, Daniel J.; Niemerg, Matthew Using monodromy to avoid high precision in homotopy continuation. (English) Zbl 1302.65137 Math. Comput. Sci. 8, No. 2, 253-262 (2014). MSC: 65H20 13P15 PDFBibTeX XMLCite \textit{D. J. Bates} and \textit{M. Niemerg}, Math. Comput. Sci. 8, No. 2, 253--262 (2014; Zbl 1302.65137) Full Text: DOI
Bates, Daniel J.; Hauenstein, Jonathan D.; McCoy, Timothy M.; Peterson, Chris; Sommese, Andrew J. Recovering exact results from inexact numerical data in algebraic geometry. (English) Zbl 1284.14084 Exp. Math. 22, No. 1, 38-50 (2013). Reviewer: Carlos D’Andrea (Barcelona) MSC: 14Q99 65H10 68W30 13P99 PDFBibTeX XMLCite \textit{D. J. Bates} et al., Exp. Math. 22, No. 1, 38--50 (2013; Zbl 1284.14084) Full Text: DOI
Beltrán, Carlos; Leykin, Anton Robust certified numerical homotopy tracking. (English) Zbl 1267.14075 Found. Comput. Math. 13, No. 2, 253-295 (2013). Reviewer: Hang Lau (Montréal) MSC: 14Q20 65H20 68W30 PDFBibTeX XMLCite \textit{C. Beltrán} and \textit{A. Leykin}, Found. Comput. Math. 13, No. 2, 253--295 (2013; Zbl 1267.14075) Full Text: DOI arXiv
Eklund, David; Jost, Christine; Peterson, Chris A method to compute Segre classes of subschemes of projective space. (English) Zbl 1274.13044 J. Algebra Appl. 12, No. 2, Paper No. 1250142, 15 p. (2013). Reviewer: Sonia Pérez Díaz (Madrid) MSC: 13Pxx 14Qxx 14C17 65H10 65E05 PDFBibTeX XMLCite \textit{D. Eklund} et al., J. Algebra Appl. 12, No. 2, Paper No. 1250142, 15 p. (2013; Zbl 1274.13044) Full Text: DOI arXiv
Bates, Daniel J.; Eklund, David; Peterson, Chris Computing intersection numbers of Chern classes. (English) Zbl 1263.14005 J. Symb. Comput. 50, 493-507 (2013). Reviewer: Susan Marie Cooper (Mount Pleasant) MSC: 14-04 14C17 14M06 13P10 PDFBibTeX XMLCite \textit{D. J. Bates} et al., J. Symb. Comput. 50, 493--507 (2013; Zbl 1263.14005) Full Text: DOI
Beltrán, Carlos; Leykin, Anton Certified numerical homotopy tracking. (English) Zbl 1238.14048 Exp. Math. 21, No. 1, 69-83 (2012). MSC: 14Q20 65H10 65H20 PDFBibTeX XMLCite \textit{C. Beltrán} and \textit{A. Leykin}, Exp. Math. 21, No. 1, 69--83 (2012; Zbl 1238.14048) Full Text: DOI arXiv
Di Rocco, Sandra; Eklund, David; Peterson, Chris; Sommese, Andrew J. Chern numbers of smooth varieties via homotopy continuation and intersection theory. (English) Zbl 1200.14014 J. Symb. Comput. 46, No. 1, 23-33 (2011). MSC: 14C15 14C17 14M07 PDFBibTeX XMLCite \textit{S. Di Rocco} et al., J. Symb. Comput. 46, No. 1, 23--33 (2011; Zbl 1200.14014) Full Text: DOI arXiv
Denham, Graham Homological aspects of hyperplane arrangements. (English) Zbl 1370.55001 El Zein, Fouad (ed.) et al., Arrangements, local systems and singularities. Lecture notes from the CIMPA summer school, Istanbul, Turkey, June 11–22, 2007. Basel: Birkhäuser (ISBN 978-3-0346-0208-2/hbk; 978-3-0346-0209-9/ebook). Progress in Mathematics 283, 39-58 (2010). MSC: 55N91 52C35 53B30 17B55 16S37 20F14 PDFBibTeX XMLCite \textit{G. Denham}, Prog. Math. 283, 39--58 (2010; Zbl 1370.55001) Full Text: DOI
Roos, Jan-Erik Three-dimensional manifolds, skew-Gorenstein rings and their cohomology. (English) Zbl 1237.16007 J. Commut. Algebra 2, No. 4, 473-499 (2010). MSC: 16E65 57N10 52C35 13D40 55P62 57N65 PDFBibTeX XMLCite \textit{J.-E. Roos}, J. Commut. Algebra 2, No. 4, 473--499 (2010; Zbl 1237.16007) Full Text: DOI arXiv Euclid
Bates, Daniel J.; Hauenstein, Jonathan D.; Peterson, Chris; Sommese, Andrew J. Numerical decomposition of the rank-deficiency set of a matrix of multivariate polynomials. (English) Zbl 1191.14071 Robbiano, Lorenzo (ed.) et al., Approximate commutative algebra. Berlin: Springer (ISBN 978-3-211-99313-2/pbk; 978-3-211-99314-9/e-book). Texts and Monographs in Symbolic Computation, 55-77 (2009). MSC: 14Q15 14M15 13Pxx 15A54 65H10 PDFBibTeX XMLCite \textit{D. J. Bates} et al., in: Approximate commutative algebra. Berlin: Springer. 55--77 (2009; Zbl 1191.14071) Full Text: DOI
Roos, Jan-Erik The homotopy Lie algebra of a complex hyperplane arrangement is not necessarily finitely presented. (English) Zbl 1191.16009 Exp. Math. 17, No. 2, 129-143 (2008). MSC: 16E30 17B70 16E05 32S22 52C35 55P62 16S37 17B55 PDFBibTeX XMLCite \textit{J.-E. Roos}, Exp. Math. 17, No. 2, 129--143 (2008; Zbl 1191.16009) Full Text: DOI arXiv Euclid Link
Denham, Graham; Suciu, Alexander I. Moment-angle complexes, monomial ideals and Massey products. (English) Zbl 1169.13013 Pure Appl. Math. Q. 3, No. 1, 25-60 (2007). Reviewer: Martin D. Crossley (Swansea) MSC: 13F55 55S30 16E05 32Q55 55P62 57R19 PDFBibTeX XMLCite \textit{G. Denham} and \textit{A. I. Suciu}, Pure Appl. Math. Q. 3, No. 1, 25--60 (2007; Zbl 1169.13013) Full Text: DOI arXiv
Denham, Graham; Suciu, Alexander I. On the homotopy Lie algebra of an arrangement. (English) Zbl 1198.17012 Mich. Math. J. 54, No. 2, 319-340 (2006). MSC: 17B55 16S37 17B70 16E05 52C35 55P62 PDFBibTeX XMLCite \textit{G. Denham} and \textit{A. I. Suciu}, Mich. Math. J. 54, No. 2, 319--340 (2006; Zbl 1198.17012) Full Text: DOI arXiv
Papadima, Stefan; Suciu, Alexander I. Algebraic invariants for right-angled Artin groups. (English) Zbl 1165.20032 Math. Ann. 334, No. 3, 533-555 (2006). MSC: 20F36 20F14 20F05 13F55 52C35 55P62 57M07 PDFBibTeX XMLCite \textit{S. Papadima} and \textit{A. I. Suciu}, Math. Ann. 334, No. 3, 533--555 (2006; Zbl 1165.20032) Full Text: DOI arXiv
Datta, Ruchira S. Using computer algebra to find Nash equilibria. (English) Zbl 1072.68659 Sendra, J. Rafael (ed.), ISSAC 2003. Proceedings of the 2003 international symposium on symbolic and algebraic computation, Philadelphia, PA, USA, August 3–6, 2003. New York, NY: ACM Press (ISBN 1-58113-641-2/pbk). 74-79 (2003). MSC: 68W30 91A99 PDFBibTeX XMLCite \textit{R. S. Datta}, in: Proceedings of the 2003 international symposium on symbolic and algebraic computation, ISSAC 2003, Philadelphia, PA, USA, August 3--6, 2003. New York, NY: ACM Press. 74--79 (2003; Zbl 1072.68659)
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
Suciu, Alexander I. Fundamental groups of line arrangements: Enumerative aspects. (English) Zbl 0998.14012 Previato, Emma (ed.), Advances in algebraic geometry motivated by physics. Proceedings of the AMS special session on enumerative geometry in physics, University of Massachusetts, Lowell, MA, USA, April 1-2, 2000. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 276, 43-79 (2001). MSC: 14F35 32S22 52C35 52C30 57M05 14N10 20F14 20F34 20J05 PDFBibTeX XMLCite \textit{A. I. Suciu}, Contemp. Math. 276, 43--79 (2001; Zbl 0998.14012) Full Text: arXiv
Roos, Jan-Erik [Löfwall, Clas] A computer-aided study of the graded Lie algebra of a local commutative noetherian ring. – Appendix A: Some technical details about how the computer was used. – Appendix B (by Clas Löfwall): The Lie algebra structure of a ring satisfying \({\mathcal M}_ 3\) and variants. (English) Zbl 0804.13004 J. Pure Appl. Algebra 91, No. 1-3, 255-315 (1994). Reviewer: Y.Felix (Louvain-La-Neuve) MSC: 13D03 13P99 55P62 13H10 18G15 PDFBibTeX XMLCite \textit{J.-E. Roos}, J. Pure Appl. Algebra 91, No. 1--3, 255--315 (1994; Zbl 0804.13004) Full Text: DOI