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Foundations of transcendental methods in computational nonlinear algebra

CORDIS provides links to public deliverables and publications of HORIZON projects.

Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Publications

Axioms for a theory of signature bases (opens in new window)

Author(s): Pierre Lairez
Published in: Journal of Symbolic Computation, 2024, ISSN 0747-7171
Publisher: Elsevier
DOI: 10.48550/arxiv.2210.13788

Effective homology and periods of complex projective hypersurfaces (opens in new window)

Author(s): Lairez, Pierre; Pichon-Pharabod, Eric; Vanhove, Pierre
Published in: Mathematics of Computation, 2024, ISSN 0025-5718
Publisher: AMS
DOI: 10.48550/arxiv.2306.05263

Quarterly Journal of Mathematics (opens in new window)

Author(s): Charles F Doran; Andrew Harder; Pierre Vanhove; Eric Pichon-Pharabod
Published in: https://hal.science/hal-04038863, 2024, ISSN 0033-5606
Publisher: OUP
DOI: 10.48550/arxiv.2302.14840

Journal of Symbolic Computation (opens in new window)

Author(s): Hadrien Brochet; Bruno Salvy
Published in: Journal of Symbolic Computation, 2024, ISSN 0747-7171
Publisher: Elsevier
DOI: 10.48550/arXiv.2307.07216

Journal of Symbolic Computation (opens in new window)

Author(s): Pichon-Pharabod, Eric
Published in: Journal of Symbolic Computation, 2024, ISSN 0747-7171
Publisher: Academic Press
DOI: 10.48550/arXiv.2401.05131

Algorithms for minimal PicardFuchs operators of Feynman integrals (opens in new window)

Author(s): Pierre Lairez; Pierre Vanhove
Published in: Letters in Mathematical Physics, 2023, ISSN 1573-0530
Publisher: Springer
DOI: 10.48550/arxiv.2209.10962

Journal of the ACM (opens in new window)

Author(s): Alexandre Guillemot; Pierre Lairez
Published in: "ISSAC 2024 - International Symposium on Symbolic and Algebraic Computation, Jul 2024, Raleigh NC, United States. pp.36-45, ⟨10.1145/3666000.3669673⟩", 2024, ISSN 0004-5411
Publisher: Association for Computing Machinary, Inc.
DOI: 10.48550/arxiv.2401.17973

A Signature–based Algorithm for Computing the Nondegenerate Locus of a Polynomial System (opens in new window)

Author(s): Eder, Christian; Lairez, Pierre; Mohr, Rafael; Safey El Din, Mohab
Published in: Journal of Symbolic Computation, 2023, ISSN 0747-7171
Publisher: Elsevier
DOI: 10.48550/arxiv.2202.13784

p-adic algorithm for bivariate Gröbner bases (opens in new window)

Author(s): Éric Schost; Catherine St-Pierre
Published in: ISSAC 2023: International Symposium on Symbolic and Algebraic Computation 2023, 2023, ISSN 1111-1111
Publisher: ACM
DOI: 10.1145/3597066.3597086

A Direttissimo Algorithm for Equidimensional Decomposition (opens in new window)

Author(s): Christian Eder; Pierre Lairez; Rafael Mohr; Mohab Safey El Din
Published in: ISSAC 2023 - 48th International Symposium on Symbolic and Algebraic Computation, 2023, ISSN 1111-1111
Publisher: ACM
DOI: 10.48550/arxiv.2302.08174

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