Adrien Poteaux

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All published works

Action	Title	Year	Authors
+ PDF Chat	Fast computation of integral bases	2024	Adrien Poteaux Martin Weimann
+ PDF Chat	Polynomial Factorization Over Henselian Fields	2024	Maria Alberich‐Carramiñana Jordi Guàrdia Enric Nart Adrien Poteaux Joaquím Roé Martin Weimann
+	Algorithm for Connectivity Queries on Real Algebraic Curves	2023	Md Nazrul Islam Adrien Poteaux Rémi Prebet
+	Algorithm for connectivity queries on real algebraic curves	2023	Nazrul Islam Adrien Poteaux Rémi Prebet
+	Local Polynomial Factorisation	2022	Adrien Poteaux Martin Weimann
+ PDF Chat	A quasi-linear irreducibility test in $$\mathbb{K}[[x]][y]$$	2022	Adrien Poteaux Martin Weimann
+ PDF Chat	Computing Puiseux series: a fast divide and conquer algorithm	2021	Adrien Poteaux Martin Weimann
+ PDF Chat	Decoupling multivariate fractions	2021	François Lemaire Adrien Poteaux
+	Computing the equisingularity type of a pseudo-irreducible polynomial	2020	Adrien Poteaux Martin Weimann
+ PDF Chat	A Short Contribution to the Theory of Regular Chains	2020	François Boulier François Lemaire Marc Moreno Maza Adrien Poteaux
+	Computing the equisingularity type of a pseudo-irreducible polynomial.	2019	Adrien Poteaux Martin Weimann
+	Using approximate roots for irreducibility and equi-singularity issues in K[[x]][y]	2019	Adrien Poteaux Martin Weimann
+ PDF Chat	A Symbolic Computation Approach Towards the Asymptotic Stability Analysis of Differential Systems with Commensurate Delays	2019	Yacine Bouzidi Adrien Poteaux Alban Quadrat
+	A quasi-linear irreducibility test in K[[x]][y]	2019	Adrien Poteaux Martin Weimann
+	Real Curve Analysis and Stability of Time-delay Systems	2019	Yacine Bouzidi Adrien Poteaux
+	Using approximate roots for irreducibility and equi-singularity issues in K[[x]][y]	2019	Adrien Poteaux Martin Weimann
+	An equivalence theorem for regular differential chains	2018	François Boulier François Lemaire Adrien Poteaux Marc Moreno Maza
+ PDF Chat	Symbolic-Numeric Methods for Nonlinear Integro-Differential Modeling	2018	François Boulier Hélène Castel Nathalie Corson Valentina Lanza François Lemaire Adrien Poteaux Alban Quadrat Nathalie Verdière
+	Computing Puiseux series : a fast divide and conquer algorithm	2017	Adrien Poteaux Martin Weimann
+ PDF Chat	A dichotomic Newton-Puiseux algorithm using dynamic evaluation	2017	Adrien Poteaux Martin Weimann
+	Computing Puiseux series : a fast divide and conquer algorithm	2017	Adrien Poteaux Martin Weimann
+	Computer algebra methods for the stability analysis of differential systems with commensurate time-delays	2016	Yacine Bouzidi Adrien Poteaux Alban Quadrat
+	On the complexity of computing with zero-dimensional triangular sets	2012	Adrien Poteaux Éric Schost
+	On the complexity of computing with zero-dimensional triangular sets	2011	Adrien Poteaux Éric Schost
+	Almost linear time operations with triangular sets	2011	Xavier Dahan Marc Moreno Maza Éric Schost Adrien Poteaux
+	On the complexity of computing with zero-dimensional triangular sets	2011	Adrien Poteaux Éric Schost
+ PDF Chat	Computing monodromy via continuation methods on random Riemann surfaces	2010	André Galligo Adrien Poteaux
+	Continuations and monodromy on random riemann surfaces	2009	André Galligo Adrien Poteaux
+	Calcul de développements de Puiseux et application au calcul du groupe de monodromie d'une courbe algébrique plane	2008	Adrien Poteaux
+	Towards a Symbolic-Numeric Method to Compute Puiseux Series: The Modular Part	2008	Adrien Poteaux Marc Rybowicz
+	Computing monodromy groups defined by plane algebraic curves	2007	Adrien Poteaux

Common Coauthors

Coauthor	Papers Together
Martin Weimann	13
Éric Schost	4
François Lemaire	4
Alban Quadrat	3
François Boulier	3
Yacine Bouzidi	3
Marc Moreno Maza	3
André Galligo	2
Rémi Prebet	2
Joaquím Roé	1
Marc Rybowicz	1
Nathalie Corson	1
Enric Nart	1
Jordi Guàrdia	1
Hélène Castel	1
Nathalie Verdière	1
Xavier Dahan	1
Maria Alberich‐Carramiñana	1
Nazrul Islam	1
Valentina Lanza	1
Md Nazrul Islam	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Irreducibility criterion for germs of analytic functions of two complex variables	1989	Shreeram S. Abhyankar	8
+ PDF Chat	Greatest common divisors of polynomials given by straight-line programs	1988	Erich Kaltofen	7
+	Calcul de développements de Puiseux et application au calcul du groupe de monodromie d'une courbe algébrique plane	2008	Adrien Poteaux	7
+	On the complexity of the D5 principle	2005	Xavier Dahan Éric Schost Marc Moreno Maza Wenyuan Wu Yongjian Xie	6
+ PDF Chat	Complexity of OM factorizations of polynomials over local fields	2013	Jens-Dietrich Bauch Enric Nart Hayden D. Stainsby	6
+ PDF Chat	Bivariate Factorization Using a Critical Fiber	2016	Martin Weimann	5
+ PDF Chat	The computational complexity of the resolution of plane curve singularities	1990	Jeremy Teitelbaum	5
+	Solving Zero-Dimensional Systems Through the Rational Univariate Representation	1999	Fabrice Rouillier	5
+	Accelerated tower arithmetic	2019	Joris van der Hoeven Grégoire Lecerf	5
+	Newton polygons of higher order in algebraic number theory	2011	Jordi Guàrdia Jesús Sanz Montes Enric Nart	5
+ PDF Chat	A construction for absolute values in polynomial rings	1936	Saunders MacLane	5
+	Computing Puiseux series : a fast divide and conquer algorithm	2017	Adrien Poteaux Martin Weimann	5
+	On the Theories of Triangular Sets	1999	Philippe Aubry Daniel Lazard Marc Moreno Maza	5
+	Invariants polaires des courbes planes	1977	M. Merle	5
+	On fast multiplication of polynomials over arbitrary algebras	1991	David G. Cantor Erich Kaltofen	5
+	Singular points of plane curves	2005	C. T. C. Wall	5
+	A construction for prime ideals as absolute values of an algebraic field	1936	Saunders Mac Lane	5
+	A Generalized Euclidean Algorithm for Computing Triangular Representations of Algebraic Varieties	1993	Michael Kalkbrener	4
+	Introduction to the Theory of Algebraic Functions of One Variable	1951	Claude Chevalley	4
+	Computing monodromy groups defined by plane algebraic curves	2007	Adrien Poteaux	4
+	Computing Riemann matrices of algebraic curves	2001	Bernard Deconinck Mark van Hoeij	4
+	Linear Differential Operators for Polynomial Equations	2002	Olivier Cormier Michael F. Singer Barry Trager Félix Ulmer	3
+	On Triangular Decompositions of Algebraic Varieties	2000	Marc Moreno Maza	3
+	Plane algebraic curves	2001	Gerd Fischer Leslie Kay	3
+ PDF Chat	Representation for the radical of a finitely generated differential ideal	1995	François Boulier Daniel Lazard François Ollivier Michel Petitot	3
+	Directed evaluation	2020	Joris van der Hoeven Grégoire Lecerf	3
+ PDF Chat	Algebroid Curves in Positive Characteristic	1980	Antonio Campillo	3
+ PDF Chat	Characterization of jacobian Newton polygons of plane branches and new criteria of irreducibility	2010	Evelia R. García Barroso Janusz Gwoździewicz	3
+ PDF Chat	Computing Puiseux series: a fast divide and conquer algorithm	2021	Adrien Poteaux Martin Weimann	3
+	An Algorithm for Computing an Integral Basis in an Algebraic Function Field	1994	Mark van Hoeij	3
+ PDF Chat	A discriminant criterion of irreducibility	2012	Evelia R. García Barroso Janusz Gwoździewicz	3
+	Plane Curve Singularities	2000	Theo de Jong Gerhard Pfister	3
+ PDF Chat	Division and Slope Factorization of p-Adic Polynomials	2016	Xavier Caruso David Roe Tristan Vaccon	3
+ PDF Chat	A Fast Algorithm for Computing the Truncated Resultant	2016	Guillaume Moroz Éric Schost	3
+ PDF Chat	Higher Newton polygons in the computation of discriminants and prime ideal decomposition in number fields	2011	Jordi Guàrdia Jesús Sanz Montes Enric Nart	3
+	On the complexity of computing with zero-dimensional triangular sets	2012	Adrien Poteaux Éric Schost	3
+	Differential Algebra and Algebraic Groups	2012	E. R. Kolchin	3
+	Fast solution of toeplitz systems of equations and computation of Padé approximants	1980	Richard P. Brent Fred G. Gustavson David Y. Y. Yun	3
+	Polígonos de Newton de orden superior y aplicaciones aritméticas	1999	Jesús Sanz Montes	3
+ PDF Chat	Lifting techniques for triangular decompositions	2005	Xavier Dahan Marc Moreno Maza Éric Schost Wenyuan Wu Yuzhen Xie	3
+ PDF Chat	A polynomial-time complexity bound for the computation of the singular part of a Puiseux expansion of an algebraic function	2000	Peter Walsh	3
+	On Computing Puiseux Series for Multiple Imaginary Characteristic Roots of LTI Systems With Commensurate Delays	2012	Xu-Guang Li Silviu‐Iulian Niculescu Arben Çela Honghai Wang Tiao‐Yang Cai	3
+	Complexity results for triangular sets	2003	Éric Schost	3
+ PDF Chat	Notes on Triangular Sets and Triangulation-Decomposition Algorithms II: Differential Systems	2003	Évelyne Hubert	2
+ PDF Chat	A New Computational Approach to Ideal Theory in Number Fields	2012	Jordi Guàrdia Jesús Sanz Montes Enric Nart	2
+ PDF Chat	Galois groups of Schubert problems via homotopy computation	2009	Anton Leykin Frank Sottile	2
+	Invariants des singularités de courbes planes et courbure des fibres de Milnor	1996	Evelia R. García Barroso	2
+	On the Average Number of Real Roots of a Random Algebraic Equation (II)	1948	Mark Kac	2
+ PDF Chat	A Normal Form Algorithm for Regular Differential Chains	2010	François Boulier François Lemaire	2
+ PDF Chat	On the complexity of rational Puiseux expansions	1999	Peter Walsh	2