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authIdHal_s : lairez
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Rigid continuation paths II. Structured polynomial systems

Peter Bürgisser , Felipe Cucker , Pierre Lairez
2020
Preprints, Working Papers, ... hal-02974062v1
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Separation of periods of quartic surfaces

Pierre Lairez , Emre Can Sertöz
2020
Preprints, Working Papers, ... hal-03022612v2

Effective homology and periods of complex projective hypersurfaces

Pierre Lairez , Eric Pichon-Pharabod , Pierre Vanhove
2023
Preprints, Working Papers, ... hal-04144264v1
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The Sage Package comb_walks for Walks in the Quarter Plane

Alin Bostan , Frédéric Chyzak , Antonio Jiménez-Pastor , Pierre Lairez
ACM Communications in Computer Algebra, 2020, 54 (212), pp.9. ⟨10.1145/3427218.3427220⟩
Journal articles hal-02902709v1
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Rigid continuation paths I. Quasilinear average complexity for solving polynomial systems

Pierre Lairez
Journal of the American Mathematical Society, In press, 33 (2), pp.487-526. ⟨10.1090/jams/938⟩
Journal articles hal-01631778v2
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Computing the Homology of Basic Semialgebraic Sets in Weak Exponential Time

Peter Bürgisser , Felipe Cucker , Pierre Lairez
Journal of the ACM (JACM), 2018, 66 (1), pp.1-30. ⟨10.1145/3275242⟩
Journal articles hal-01545657v2
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Multiple binomial sums

Alin Bostan , Pierre Lairez , Bruno Salvy
Journal of Symbolic Computation, 2017, 80 (2), pp.351--386. ⟨10.1016/j.jsc.2016.04.002⟩
Journal articles hal-01220573v2
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Computing the volume of compact semi-algebraic sets

Pierre Lairez , Marc Mezzarobba , Mohab Safey El Din
ISSAC 2019 - International Symposium on Symbolic and Algebraic Computation, Jul 2019, Beijing, China
Conference papers hal-02110556v1
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A numerical transcendental method in algebraic geometry: Computation of Picard groups and related invarian

Pierre Lairez , Emre Can Sertöz
SIAM Journal on Applied Algebra and Geometry, 2019, 3 (4), pp.559-584. ⟨10.1137/18M122861X⟩
Journal articles hal-01932147v2
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Algorithms for minimal Picard-Fuchs operators of Feynman integrals

Pierre Lairez , Pierre Vanhove
2022
Preprints, Working Papers, ... hal-03784522v1
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Computing the dimension of real algebraic sets

Pierre Lairez , Mohab Safey El Din
ISSAC 2021 - 46th International Symposium on Symbolic and Algebraic Computation, Jul 2021, Saint-Pétersbourg, Russia. pp.257-264, ⟨10.1145/3452143.3465551⟩
Conference papers hal-03232068v2
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Computing periods of rational integrals

Pierre Lairez
Mathematics of Computation, 2016, 85, pp.1719-1752. ⟨10.1090/mcom/3054⟩
Journal articles hal-00981114v3
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Generalized Hermite Reduction, Creative Telescoping and Definite Integration of D-Finite Functions

Alin Bostan , Frédéric Chyzak , Pierre Lairez , Bruno Salvy
ISSAC 2018 - International Symposium on Symbolic and Algebraic Computation, Jul 2018, New York, United States. pp.1-8, ⟨10.1145/3208976.3208992⟩
Conference papers hal-01788619v1