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 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

2010/07 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