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Author ID: rond.guillaume Recent zbMATH articles by "Rond, Guillaume"
Published as: Rond, Guillaume; Rond, G.
Homepage: http://www.i2m.univ-amu.fr/perso/guillaume.rond/
External Links: MGP · IdRef · theses.fr
Documents Indexed: 41 Publications since 2003, including 8 Additional arXiv Preprints
Reviewing Activity: 35 Reviews
Co-Authors: 14 Co-Authors with 18 Joint Publications
242 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

22 Publications have been cited 83 times in 53 Documents Cited by Year
The Abhyankar-Jung theorem. Zbl 1268.13008
Parusiński, Adam; Rond, Guillaume
15
2012
Artin approximation. Zbl 1396.13001
Rond, Guillaume
13
2018
On the linearity of Artin functions. (Sur la linéarité de la fonction de Artin.) Zbl 1109.14006
Rond, Guillaume
8
2005
Local topological algebraicity of analytic function germs. Zbl 1365.32005
Bilski, Marcin; Parusiński, Adam; Rond, Guillaume
8
2017
Homomorphisms of local algebras in positive characteristic. Zbl 1189.13022
Rond, Guillaume
4
2009
Diophantine approximation in power series fields of several variables. (Approximation diophantienne dans les corps de séries en plusieurs variables.) Zbl 1126.11035
Rond, Guillaume
4
2006
Artin-Rees Lemma, Izumi theorem and Artin function. (Lemme d’Artin-Rees, théorème d’Izumi et fonction de Artin.) Zbl 1099.13017
Rond, Guillaume
4
2006
The analogue of Izumi’s theorem for Abhyankar valuations. Zbl 1318.13007
Rond, G.; Spivakovsky, M.
4
2014
Linear nested Artin approximation theorem for algebraic power series. Zbl 1403.13014
Castro-Jiménez, Francisco-Jesús; Popescu, Dorin; Rond, Guillaume
4
2019
Effective bounds of functions approximating formal solutions of binomial equations. (Bornes effectives des fonctions d’approximation des solutions formelles d’équations binomiales.) Zbl 1200.13016
Rond, Guillaume
2
2010
Higher order approximation of analytic sets by topologically equivalent algebraic sets. Zbl 1393.32012
Bilski, Marcin; Kurdyka, Krzysztof; Parusiński, Adam; Rond, Guillaume
2
2018
Cylindric Artin approximation and homomorphisms of analytic algebras. (Approximation de Artin cylindrique et morphismes d’algèbres analytiques.) Zbl 1159.13005
Rond, Guillaume
2
2008
Algebraic varieties are homeomorphic to varieties defined over number fields. Zbl 1454.14147
Parusiński, Adam; Rond, Guillaume
2
2020
Approximation of holomorphic solutions of a system of real analytic equations. Zbl 1259.13005
Hickel, Michel; Rond, Guillaume
2
2012
Local topological algebraicity with algebraic coefficients of analytic sets or functions. Zbl 1400.32014
Rond, Guillaume
2
2018
Motivic Poincaré series of a quasi-ordinary irreducible germ of hypersurface. (Séries de Poincaré motiviques d’un germe d’hypersurface irréductible quasi-ordinaire.) Zbl 1190.14008
Rond, Guillaume
1
2009
An irreducibility criterion for power series. Zbl 1375.13027
Rond, Guillaume; Schober, Bernd
1
2017
Local zero estimates and effective division in rings of algebraic power series. Zbl 1411.13035
Rond, Guillaume
1
2018
About the Artin function in dimension \(N\geqslant 2\). (A propos de la fonction de Artin en dimension \(N\geqslant 2\).) Zbl 1071.14005
Rond, Guillaume
1
2005
About the algebraic closure of the field of power series in several variables in characteristic zero. Zbl 1360.13052
Rond, Guillaume
1
2017
Support of Laurent series algebraic over the field of formal power series. Zbl 1419.13039
Aroca, Fuensanta; Rond, Guillaume
1
2019
Łojasiewicz inequality over the ring of power series in two variables. Zbl 1286.14076
Rond, Guillaume
1
2013
Algebraic varieties are homeomorphic to varieties defined over number fields. Zbl 1454.14147
Parusiński, Adam; Rond, Guillaume
2
2020
Linear nested Artin approximation theorem for algebraic power series. Zbl 1403.13014
Castro-Jiménez, Francisco-Jesús; Popescu, Dorin; Rond, Guillaume
4
2019
Support of Laurent series algebraic over the field of formal power series. Zbl 1419.13039
Aroca, Fuensanta; Rond, Guillaume
1
2019
Artin approximation. Zbl 1396.13001
Rond, Guillaume
13
2018
Higher order approximation of analytic sets by topologically equivalent algebraic sets. Zbl 1393.32012
Bilski, Marcin; Kurdyka, Krzysztof; Parusiński, Adam; Rond, Guillaume
2
2018
Local topological algebraicity with algebraic coefficients of analytic sets or functions. Zbl 1400.32014
Rond, Guillaume
2
2018
Local zero estimates and effective division in rings of algebraic power series. Zbl 1411.13035
Rond, Guillaume
1
2018
Local topological algebraicity of analytic function germs. Zbl 1365.32005
Bilski, Marcin; Parusiński, Adam; Rond, Guillaume
8
2017
An irreducibility criterion for power series. Zbl 1375.13027
Rond, Guillaume; Schober, Bernd
1
2017
About the algebraic closure of the field of power series in several variables in characteristic zero. Zbl 1360.13052
Rond, Guillaume
1
2017
The analogue of Izumi’s theorem for Abhyankar valuations. Zbl 1318.13007
Rond, G.; Spivakovsky, M.
4
2014
Łojasiewicz inequality over the ring of power series in two variables. Zbl 1286.14076
Rond, Guillaume
1
2013
The Abhyankar-Jung theorem. Zbl 1268.13008
Parusiński, Adam; Rond, Guillaume
15
2012
Approximation of holomorphic solutions of a system of real analytic equations. Zbl 1259.13005
Hickel, Michel; Rond, Guillaume
2
2012
Effective bounds of functions approximating formal solutions of binomial equations. (Bornes effectives des fonctions d’approximation des solutions formelles d’équations binomiales.) Zbl 1200.13016
Rond, Guillaume
2
2010
Homomorphisms of local algebras in positive characteristic. Zbl 1189.13022
Rond, Guillaume
4
2009
Motivic Poincaré series of a quasi-ordinary irreducible germ of hypersurface. (Séries de Poincaré motiviques d’un germe d’hypersurface irréductible quasi-ordinaire.) Zbl 1190.14008
Rond, Guillaume
1
2009
Cylindric Artin approximation and homomorphisms of analytic algebras. (Approximation de Artin cylindrique et morphismes d’algèbres analytiques.) Zbl 1159.13005
Rond, Guillaume
2
2008
Diophantine approximation in power series fields of several variables. (Approximation diophantienne dans les corps de séries en plusieurs variables.) Zbl 1126.11035
Rond, Guillaume
4
2006
Artin-Rees Lemma, Izumi theorem and Artin function. (Lemme d’Artin-Rees, théorème d’Izumi et fonction de Artin.) Zbl 1099.13017
Rond, Guillaume
4
2006
On the linearity of Artin functions. (Sur la linéarité de la fonction de Artin.) Zbl 1109.14006
Rond, Guillaume
8
2005
About the Artin function in dimension \(N\geqslant 2\). (A propos de la fonction de Artin en dimension \(N\geqslant 2\).) Zbl 1071.14005
Rond, Guillaume
1
2005

Citations by Year