Utilisateur·rice

Guillaume • ROND
Maître de Conférences (MCF H) • Affiliation : Aix-Marseille Université (AMU)
Site : Luminy • Office : 121 • Office Floor : 1 •

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User group(s) :

Research keywords :
    Artin approximation Artin function Real analytic equations Diophantine approximation Approximation diophantienne Singularities Espaces d'arcs et de coins

User Thematic(s) :
  • Analysis and complex geometry
  • Algebraic geometry (null and positive characteristic)
  • Discrete mathematics
  • Singularities
  • Algebraic number theory, arithmetic geometry
  • Topology (algebraic, low dimensional, general)

Publications HAL

2020/04 - Algebraic varieties are homeomorphic to varieties defined over number fields

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

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

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

2018/01 Journal of Singularities - Artin Approximation

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

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

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

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

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

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

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

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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