Eder, Christian; Lairez, Pierre; Mohr, Rafael; El Din, Mohab Safey A signature-based algorithm for computing the nondegenerate locus of a polynomial system. (English) Zbl 07704551 J. Symb. Comput. 119, 1-21 (2023). MSC: 68Wxx 13Pxx 13-XX PDF BibTeX XML Cite \textit{C. Eder} et al., J. Symb. Comput. 119, 1--21 (2023; Zbl 07704551) Full Text: DOI arXiv
Bürgisser, Peter; Cucker, Felipe; Lairez, Pierre Rigid continuation paths. II: Structured polynomial systems. (English) Zbl 07691682 Forum Math. Pi 11, Paper No. e12, 44 p. (2023). MSC: 68Q25 65H10 65H20 65Y20 PDF BibTeX XML Cite \textit{P. Bürgisser} et al., Forum Math. Pi 11, Paper No. e12, 44 p. (2023; Zbl 07691682) Full Text: DOI arXiv
Lairez, Pierre; Vanhove, Pierre Algorithms for minimal Picard-Fuchs operators of Feynman integrals. (English) Zbl 1509.14020 Lett. Math. Phys. 113, No. 2, Paper No. 37, 45 p. (2023). Reviewer: Vladimir P. Kostov (Nice) MSC: 14D05 81Q30 81T18 PDF BibTeX XML Cite \textit{P. Lairez} and \textit{P. Vanhove}, Lett. Math. Phys. 113, No. 2, Paper No. 37, 45 p. (2023; Zbl 1509.14020) Full Text: DOI arXiv
Eder, Christian; Lairez, Pierre; Mohr, Rafael; Safey El Din, Mohab Towards signature-based Gröbner basis algorithms for computing the nondegenerate locus of a polynomial system. (English) Zbl 07721514 ACM Commun. Comput. Algebra 56, No. 2, 41-45 (2022). MSC: 68W30 PDF BibTeX XML Cite \textit{C. Eder} et al., ACM Commun. Comput. Algebra 56, No. 2, 41--45 (2022; Zbl 07721514) Full Text: DOI
Jiménez-Pastor, Antonio; Bostan, Alin; Chyzak, Frédéric; Lairez, Pierre The Sage package comb\(\_\)walks for walks in the quarter plane. (English) Zbl 1499.68417 ACM Commun. Comput. Algebra 54, No. 2, 30-38 (2020). MSC: 68W30 05A15 PDF BibTeX XML Cite \textit{A. Jiménez-Pastor} et al., ACM Commun. Comput. Algebra 54, No. 2, 30--38 (2020; Zbl 1499.68417) Full Text: DOI
Lairez, Pierre Rigid continuation paths. I: Quasilinear average complexity for solving polynomial systems. (English) Zbl 07179136 J. Am. Math. Soc. 33, No. 2, 487-526 (2020). MSC: 65Y20 65H10 65H20 PDF BibTeX XML Cite \textit{P. Lairez}, J. Am. Math. Soc. 33, No. 2, 487--526 (2020; Zbl 07179136) Full Text: DOI arXiv
Lairez, Pierre; Mezzarobba, Marc; Safey El Din, Mohab Computing the volume of compact semi-algebraic sets. (English) Zbl 1467.14139 Bradford, Russell (ed.), Proceedings of the 44th international symposium on symbolic and algebraic computation, ISSAC ’19, Beijing, China, July 15–18, 2019. New York, NY: Association for Computing Machinery (ACM). 259-266 (2019). MSC: 14P10 14Q20 68W30 PDF BibTeX XML Cite \textit{P. Lairez} et al., in: Proceedings of the 44th international symposium on symbolic and algebraic computation, ISSAC '19, Beijing, China, July 15--18, 2019. New York, NY: Association for Computing Machinery (ACM). 259--266 (2019; Zbl 1467.14139) Full Text: DOI arXiv HAL
Lairez, Pierre; Sertöz, Emre Can A numerical transcendental method in algebraic geometry: computation of Picard groups and related invariants. (English) Zbl 1441.14036 SIAM J. Appl. Algebra Geom. 3, No. 4, 559-584 (2019). MSC: 14C30 32J25 14C22 32G20 14Q10 PDF BibTeX XML Cite \textit{P. Lairez} and \textit{E. C. Sertöz}, SIAM J. Appl. Algebra Geom. 3, No. 4, 559--584 (2019; Zbl 1441.14036) Full Text: DOI arXiv
Bürgisser, Peter; Cucker, Felipe; Lairez, Pierre Computing the homology of basic semialgebraic sets in weak exponential time. (English) Zbl 1426.14016 J. ACM 66, No. 1, Article No. 5, 30 p. (2019). MSC: 14P10 14Q20 PDF BibTeX XML Cite \textit{P. Bürgisser} et al., J. ACM 66, No. 1, Article No. 5, 30 p. (2019; Zbl 1426.14016) Full Text: DOI arXiv
Bostan, Alin; Chyzak, Frédéric; Lairez, Pierre; Salvy, Bruno Generalized Hermite reduction, creative telescoping and definite integration of D-finite functions. (English) Zbl 1467.34011 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). 95-102 (2018). MSC: 34A25 34A30 68W30 PDF BibTeX XML Cite \textit{A. Bostan} 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). 95--102 (2018; Zbl 1467.34011) Full Text: DOI arXiv Link
Lairez, Pierre A deterministic algorithm to compute approximate roots of polynomial systems in polynomial average time. (English) Zbl 1458.65058 Found. Comput. Math. 17, No. 5, 1265-1292 (2017). MSC: 65H10 65H20 65Y20 68Q25 PDF BibTeX XML Cite \textit{P. Lairez}, Found. Comput. Math. 17, No. 5, 1265--1292 (2017; Zbl 1458.65058) Full Text: DOI arXiv
Bostan, Alin; Lairez, Pierre; Salvy, Bruno Multiple binomial sums. (English) Zbl 1351.05013 J. Symb. Comput. 80, Part 2, 351-386 (2017). MSC: 05A10 33F10 68W30 PDF BibTeX XML Cite \textit{A. Bostan} et al., J. Symb. Comput. 80, Part 2, 351--386 (2017; Zbl 1351.05013) Full Text: DOI arXiv HAL
Lairez, Pierre; Vaccon, Tristan On \(p\)-adic differential equations with separation of variables. (English) Zbl 1364.12007 Rosenkranz, Markus (ed.), Proceedings of the 41st international symposium on symbolic and algebraic computation, ISSAC 2016, Waterloo, Canada, July 20–22, 2016. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-4380-0). 319-323 (2016). MSC: 12H25 65L20 PDF BibTeX XML Cite \textit{P. Lairez} and \textit{T. Vaccon}, in: Proceedings of the 41st international symposium on symbolic and algebraic computation, ISSAC 2016, Waterloo, Canada, July 20--22, 2016. New York, NY: Association for Computing Machinery (ACM). 319--323 (2016; Zbl 1364.12007) Full Text: DOI arXiv
Hüttenhain, Jesko; Lairez, Pierre The boundary of the orbit of the 3-by-3 determinant polynomial. (La frontière de l’orbite du polynôme déterminant 3 par 3.) (English. French summary) Zbl 1352.14031 C. R., Math., Acad. Sci. Paris 354, No. 9, 931-935 (2016). Reviewer: Carlos Hermoso Ortíz (Madrid) MSC: 14L30 03D15 68Q17 70G55 15A15 14L24 PDF BibTeX XML Cite \textit{J. Hüttenhain} and \textit{P. Lairez}, C. R., Math., Acad. Sci. Paris 354, No. 9, 931--935 (2016; Zbl 1352.14031) Full Text: DOI arXiv
Bürgisser, Peter; Kohn, Kathlén; Lairez, Pierre; Sturmfels, Bernd Computing the Chow variety of quadratic space curves. (English) Zbl 1460.14132 Kotsireas, Ilias S. (ed.) et al., Mathematical aspects of computer and information sciences. 6th international conference, MACIS 2015, Berlin, Germany, November 11–13, 2015. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 9582, 130-136 (2016). MSC: 14Q15 14C05 68W30 PDF BibTeX XML Cite \textit{P. Bürgisser} et al., Lect. Notes Comput. Sci. 9582, 130--136 (2016; Zbl 1460.14132) Full Text: DOI arXiv
Lairez, Pierre Computing periods of rational integrals. (English) Zbl 1337.68301 Math. Comput. 85, No. 300, 1719-1752 (2016). Reviewer: Vladimir P. Kostov (Nice) MSC: 68W30 14K20 14F40 33F10 34M03 PDF BibTeX XML Cite \textit{P. Lairez}, Math. Comput. 85, No. 300, 1719--1752 (2016; Zbl 1337.68301) Full Text: DOI arXiv
Bostan, Alin; Lairez, Pierre; Salvy, Bruno Creative telescoping for rational functions using the Griffiths-Dwork method. (English) Zbl 1360.68921 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). 93-100 (2013). MSC: 68W30 12H20 33F10 PDF BibTeX XML Cite \textit{A. Bostan} et al., 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). 93--100 (2013; Zbl 1360.68921) Full Text: DOI arXiv
Bierstone, Edward; Lairez, Pierre; Milman, Pierre D. Resolution except for minimal singularities. II. The case of four variables. (English) Zbl 1262.14003 Adv. Math. 231, No. 5, 3003-3021 (2012). Reviewer: Augusto Nobile (Baton Rouge) MSC: 14B05 14E15 32S45 14J17 32S05 32S10 58K50 PDF BibTeX XML Cite \textit{E. Bierstone} et al., Adv. Math. 231, No. 5, 3003--3021 (2012; Zbl 1262.14003) Full Text: DOI arXiv