Utilisateur·rice

Guillaume • Rond
Maître de Conférences (MCF H) • Affiliation : Aix-Marseille Université (AMU)
Site : Luminy • Bureau : 121 • Etage du bureau : 1 •

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Groupe(s) scientifiques(s) de l'utilisateur :
Thématiques scientifiques :
  • Analyse et géométrie complexe
  • Géométrie algébrique (caractéristique nulle et positive)
  • Mathématiques discrètes
  • Singularités
  • Théorie algébrique des nombres, géométrie arithmétique
  • Topologie (algébrique, de basse dimension, générale)

Publications HAL

2021/06 Journal of Pure and Applied Algebra - Finiteness results concerning algebraic power series

2021/01 Journal de l'École polytechnique — Mathématiques - A proof of A. Gabrielov’s rank theorem

2020/10 Communications in Algebra - Artin approximation over Banach spaces

2020/05 Proceedings of the American Mathematical Society - Transcendental holomorphic maps between real algebraic manifolds in a complex space

2020/04 Transactions of the American Mathematical Society - Multiparameter perturbation theory of matrices and linear operators

2020/01 Commentarii Mathematici Helvetici - Algebraic varieties are homeomorphic to varieties defined over number fields

2019/03 Proceedings of the London Mathematical Society - Support of Laurent series algebraic over the field of formal power series

2019/01 Osaka Journal of Mathematics - REMARKS ON ARTIN APPROXIMATION WITH CONSTRAINTS

2019/01 Manuscripta mathematica - Linear nested Artin approximation theorem for algebraic power series

2018/04 Journal für die reine und angewandte Mathematik - Local zero estimates and effective division in rings of algebraic power series

2018/04 Mathematische Zeitschrift - Higher order approximation of analytic sets by topologically equivalent algebraic sets

2018/01 Journal of Singularities - Artin Approximation

2018/01 Algebra & Number Theory - Local topological algebraicity with algebraic coefficients of analytic sets or functions

2017/12 Journal of Singularities - About the algebraic closure of the field of power series in several variables in characteristic zero

2017/01 Journal of Algebraic Geometry - Local topological algebraicity of analytic function germs

2017/01 Proceedings of the American Mathematical Society - An irreducibility criterion for power series

2015/12 - LINEAR NESTED ARTIN APPROXIMATION THEOREM FOR ALGEBRAIC POWER SERIES

2014/01 Journal of the London Mathematical Society - The analogue of Izumi's Theorem for Abhyankar valuations

2013/01 Mathematical Research Letters - Łojasiewicz inequality over the ring of power series in two variables

2012/01 Journal of Algebra - The Abhyankar–Jung Theorem

2012/01 Canad. Math. Bull - Approximation of Holomorphic Solutions of a system of Real Analytic Equations

2010/07 Comptes Rendus. Mathématique - Sur la lissification de type Płoski–Popescu

2010/06 Proceedings of the American Mathematical Society - Asymptotic behaviour of standard bases

2010/01 Journal of Algebra - Bornes effectives des fonctions d'approximation des solutions formelles d'équations binomiales

2009/12 Journal of Algebra - Homomorphisms of local algebras in positive characteristic

2009/01 Asterisque - Series de Poincare motiviques geometrique et arithmetique d'un germe d'hypersurface irreductible quasi-ordinaire

2007/01 Advanced Studies in Pure Mathematics - Exemples de fonctions de Artin de germes d'espaces analytiques

2006/05 Journal of Algebra - Lemme d'Artin–Rees, théorème d'Izumi et fonction de Artin

2006/01 Journal of Algebra - Lemme d'Artin-Rees, theoreme d'Izumi et fonction de Artin

2006/01 Annales de l'Institut Fourier - Diophantine approximation in fields of power series in several variables

2005/06 - Fonction de Artin et théorème d'Izumi

2005/04 Comptes Rendus. Mathématique - A propos de la fonction de Artin en dimension

2005/01 - Sur la linearite de la fonction de Artin

2005/01 - Series de Poincare motiviques geometrique et arithmetique d'un germe d'hypersurface irreductible quasi-ordinaire


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