Foundations of transcendental methods in computational nonlinear algebra

Project Information

10000 DIGITS

Grant agreement ID: 101040794

DOI

10.3030/101040794

EC signature date 28 March 2022

Start date 1 April 2022

End date 31 March 2027

Funded under

• European Research Council (ERC)

Total cost

€ 1 393 312,50

EU contribution

€ 1 393 312,50

Coordinated by

INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET AUTOMATIQUE
France

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 .

Deliverables

Documents, reports (1)

Data Management Plan

The data management plan will be generated in order to manage the data and outputs generated during the project.The next items will be included in this document:Data reuse approach, data type and format, expected size of the data, where it comes from and to whom it will be useful.How to make data findable, accessible, interoperable and increase data reuse.In addition to data management, plan the management of other research outputs will be generated, such as software, models, etc.The resource issue will also be considered (direct and indirect costs related to storage, archiving, reuse, etc.).

Publications

Peer reviewed articles (8)

Axioms for a theory of signature bases

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

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

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

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

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

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

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

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

Conference proceedings (2)

p-adic algorithm for bivariate Gröbner bases

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

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