Guillaume Rond

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All published works

Action	Title	Year	Authors
+	On the Nash points of subanalytic sets	2023	André Belotto da Silva Octave Curmi Guillaume Rond
+ PDF Chat	The minimal cone of an algebraic Laurent series	2022	Fuensanta Aroca Julie Decaup Guillaume Rond
+ PDF Chat	A proof of A. Gabrielov’s rank theorem	2021	André Belotto da Silva Octave Curmi Guillaume Rond
+ PDF Chat	Finiteness results concerning algebraic power series	2020	Fuensanta Aroca Julie Decaup Guillaume Rond
+	A proof of A. Gabrielov's rank Theorem	2020	André Belotto da Silva Octave Curmi Guillaume Rond
+ PDF Chat	Algebraic varieties are homeomorphic to varieties defined over number fields	2020	Adam Parusiński Guillaume Rond
+ PDF Chat	Artin approximation over Banach spaces	2020	Guillaume Rond
+	Artin approximation over Banach spaces	2020	Guillaume Rond
+	Finiteness results concerning algebraic power series	2020	Fuensanta Aroca Julie Decaup Guillaume Rond
+	Artin approximation over Banach spaces	2020	Guillaume Rond
+	Finiteness results concerning algebraic power series	2020	Fuensanta Aroca Julie Decaup Guillaume Rond
+	Preordered groups and valued fields	2019	Julie Decaup Guillaume Rond
+	Multiparameter perturbation theory of matrices and linear operators	2019	Adam Parusiński Guillaume Rond
+	Transcendental holomorphic maps between real algebraic manifolds in a complex space	2019	Guillaume Rond
+	Transcendental holomorphic maps between real algebraic manifolds in a complex space	2019	Guillaume Rond
+	Exemples de fonctions de Artin de germes d'espaces analytiques	2019	Guillaume Rond
+	The minimal cone of an algebraic Laurent series	2019	Fuensanta Aroca Julie Decaup Guillaume Rond
+	Preordered groups and valued fields	2019	Julie Decaup Guillaume Rond
+	Transcendental holomorphic maps between real algebraic manifolds in a complex space	2019	Guillaume Rond
+	The minimal cone of an algebraic Laurent series	2019	Fuensanta Aroca Julie Decaup Guillaume Rond
+ PDF Chat	Support of Laurent series algebraic over the field of formal power series	2018	Fuensanta Aroca Guillaume Rond
+ PDF Chat	Local topological algebraicity with algebraic coefficients of analytic sets or functions	2018	Guillaume Rond
+	Multiparameter perturbation theory of matrices and linear operators	2018	Adam Parusiński Guillaume Rond
+ PDF Chat	Linear nested Artin approximation theorem for algebraic power series	2018	Francisco Jesús Castro Jiménez Dorin Popescu Guillaume Rond
+	Algebraic varieties are homeomorphic to varieties defined over number fields	2018	Adam Parusiński Guillaume Rond
+	Multiparameter perturbation theory of matrices and linear operators	2018	Adam Parusiński Guillaume Rond
+	Higher order approximation of analytic sets by topologically equivalent algebraic sets	2017	Marcin Bilski Krzysztof Kurdyka Adam Parusiński Guillaume Rond
+ PDF Chat	About the algebraic closure of the field of power series in several variables in characteristic zero	2017	Guillaume Rond
+	Remarks on Artin approximation with constraints	2017	Dorin Popescu Guillaume Rond
+	Local topological algebraicity of analytic function germs	2016	Marcin Bilski Adam Parusiński Guillaume Rond
+	An irreducibility criterion for power series	2016	Guillaume Rond Bernd Schober
+	Higher order approximation of analytic sets by topologically equivalent algebraic sets	2016	Marcin Bilski Krzysztof Kurdyka Adam Parusiński Guillaume Rond
+	An irreducibility criterion for power series	2016	Bernd Schober Guillaume Rond
+	Higher order approximation of analytic sets by topologically equivalent algebraic sets	2016	Marcin Bilski Krzysztof Kurdyka Adam Parusiński Guillaume Rond
+ PDF Chat	Local zero estimates and effective division in rings of algebraic power series	2015	Guillaume Rond
+	Artin Approximation	2015	Guillaume Rond
+	Local zero estimates and effective division in rings of algebraic power series	2014	Guillaume Rond
+	Local topological algebraicity of analytic function germs	2014	Marcin Bilski Adam Parusiński Guillaume Rond
+	Local topological algebraicity of analytic function germs	2014	Marcin Bilski Adam Parusiński Guillaume Rond
+	About the algebraic closure of the field of power series in several variables in characteristic zero	2013	Guillaume Rond
+	Lojasiewicz inequality over the ring of power series in two variables	2013	Guillaume Rond
+	About the algebraic closure of the field of power series in several variables in characteristic zero	2013	Guillaume Rond
+	The Abhyankar–Jung Theorem	2012	Adam Parusiński Guillaume Rond
+	The Abhyankar-Jung Theorem	2011	Adam Parusiński Guillaume Rond
+	The Abhyankar-Jung Theorem	2011	Adam Parusiński Guillaume Rond
+	Bornes effectives des fonctions d'approximation des solutions formelles d'équations binomiales	2010	Guillaume Rond
+	An algebraic proof of Gabrielov's theorem about analytic homomorphisms in any characteristic	2007	Guillaume Rond
+	Homomorphisms of local algebras in positive characteristic	2006	Guillaume Rond
+ PDF Chat	Sur la linéarité de la fonction de Artin	2005	Guillaume Rond
+ PDF Chat	A propos de la fonction de Artin en dimension <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mml:mi>N</mml:mi><mml:mo>⩾</mml:mo><mml:mn>2</mml:mn></mml:math>	2005	Guillaume Rond
+	Approximation diophantienne dans les corps de series en plusieurs variables	2005	Guillaume Rond
+	Series de Poincare motiviques geometrique et arithmetique d'un germe d'hypersurface irreductible quasi-ordinaire	2005	Guillaume Rond
+	Sur la linearite de la fonction de Artin	2004	Guillaume Rond
+	Theoreme d'approximation cylindrique dans le cas des anneaux analytiques	2003	Guillaume Rond

Common Coauthors

Coauthor	Papers Together
Adam Parusiński	14
Julie Decaup	8
Fuensanta Aroca	7
Marcin Bilski	5
Octave Curmi	3
André Belotto da Silva	3
Bernd Schober	2
Krzysztof Kurdyka	2
Dorin Popescu	2
Francisco Jesús Castro Jiménez	1
Marcin Bilski	1
Krzysztof Kurdyka	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Algebraic approximation of structures over complete local rings	1969	Michael Artin	15
+ PDF Chat	Singularités quasi-ordinaires toriques et polyèdre de Newton du discriminant	2000	Pedro D. González Pérez	9
+	The Abhyankar–Jung Theorem	2012	Adam Parusiński Guillaume Rond	8
+	Fiber polytopes and fractional power series	1995	John McDonald	7
+	Fields: Algebraically closed and others	1992	Paulo Ribenboim	7
+ PDF Chat	A new proof of D. Popescu’s theorem on smoothing of ring homomorphisms	1999	Mark Spivakovsky	7
+	On the Jung-Abhyankar theorem	2004	K. Kiyek J. L. Vicente	7
+	Commutative Ring Theory	1987	H. Matsumura	6
+	Homomorphisms of local algebras in positive characteristic	2009	Guillaume Rond	6
+	The rank condition and convergence of formal functions	1989	Shuzo Izumi	6
+	Analytic and polynomial homomorphisms of analytic rings	1978	Pierre D. Milman	6
+ PDF Chat	Rational points in henselian discrete valuation rings	1966	Marvin J. Greenberg	6
+ PDF Chat	Relations among analytic functions. I	1987	Edward Bierstone Pierre D. Milman	5
+	On functions of several complex variables	1916	William F. Osgood	5
+	On the Theory of Local Rings	1943	Claude Chevalley	5
+	A theorem on solutions of analytic equations with applications to deformations of complex structures	1975	John J. Wavrik	5
+	Puiseux parametric equations of analytic sets	2004	Fuensanta Aroca	5
+	THEOREMS ON THE TOPOLOGICAL EQUISINGULARITY OF FAMILIES OF ALGEBRAIC VARIETIES AND FAMILIES OF POLYNOMIAL MAPPINGS	1972	A N Varčenko	5
+	Real algebraic geometry	2014	Jacek Bochnak Michel Coste Marie-Françoise Roy	5
+ PDF Chat	An extension of Greenberg’s theorem to general valuation rings	2011	Laurent Moret-Bailly	5
+ PDF Chat	Exposé on a conjecture of Tougeron	1977	Joseph Becker	5
+ PDF Chat	Power series and smooth functions equivalent to a polynomial	1986	Wojciech Kucharz	4
+ PDF Chat	General Néron desingularization and approximation	1986	Dorin Popescu	4
+ PDF Chat	The Artin conjecture for Q-algebras	1997	Ronan Quarez	4
+	Éléments de géométrie algébrique	1964	Alexandre Grothendieck	4
+	Resolution of Singularities of an Algebraic Variety Over a Field of Characteristic Zero: I	1964	Heisuke Hironaka	4
+ PDF Chat	Quasianalytic multiparameter perturbation of polynomials and normal matrices	2011	Armin Rainer	4
+	Applications of functional analysis to the solution of power series equations	1979	Joseph Becker William R. Zame	4
+ PDF Chat	On the functions counting walks with small steps in the quarter plane	2012	Irina Kurkova Kilian Raschel	4
+	Differentiably Finite Power Series	1980	Richard P. Stanley	4
+ PDF Chat	Completion of real fans and Zariski-Riemann spaces	2006	Günter Ewald Masa-Nori Ishida	4
+	Local topological algebraicity of analytic function germs	2016	Marcin Bilski Adam Parusiński Guillaume Rond	4
+ PDF Chat	Diagonalization and rationalization of algebraic Laurent series	2013	Boris Adamczewski Jason P. Bell	4
+	The relation between topological and algebro-geometric equisingularities according to zariski	1973	Alexander Varchenko	4
+ PDF Chat	Increase, convergence and vanishing of functions along a Moishezon space	1992	Shuzo Izumi	4
+	Homomorphisms of analytic local rings.	1970	Marius van der Put Shreeram S. Abhyankar	4
+	Arc-wise analytic stratification, Whitney fibering conjecture and Zariski equisingularity	2017	Adam Parusiński Laurenţiu Păunescu	4
+	Gabrielov's rank condition is equivalent to an inequality of reduced orders	1986	Shuzo Izumi	4
+	Ultraproducts and approximation in local rings I	1979	Joseph Becker Jan Denef Leonard Lipshitz Lou van den Dries	4
+ PDF Chat	On the algebraicity of Puiseux series	2017	Michel Hickel Mickaël Matusinski	4
+ PDF Chat	Constructions in algebra	1974	A. Seidenberg	3
+ PDF Chat	General Néron desingularization	1985	Dorin Popescu	3
+	The Abhyankar-Jung theorem revisited	1993	María-Ángeles Zurro	3
+ PDF Chat	An algebraically closed field	1968	Francis J. Rayner	3
+	A Family of Algebraically Closed Fields Containing Polynomials in Several Variables	2009	Fuensanta Aroca Giovanna Ilardi	3
+	The Newton Procedure for several variables	2011	María Soto J. L. Vicente	3
+ PDF Chat	On ordered division rings	1949	Β Neumann	3
+ PDF Chat	Courbes analytiques sur un germe d'espace analytique et applications	1976	Jean-Claude Tougeron	3
+	Mehrfach perfekte K�rper	1933	Friedrich Schmidt	3
+	On the theory of graded structures	1986	Lorenzo Robbiano	3