Pierre Dèbes

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All published works

Action	Title	Year	Authors
+	MFO–RIMS Tandem Workshop: Arithmetic Homotopy and Galois Theory	2024	Benjamin Collas Pierre Dèbes Yuichiro Hoshi Ariane Mézard
+ PDF Chat	Coprime values of polynomials in several variables	2023	Arnaud Bodin Pierre Dèbes
+	Improvements on dimension growth results and effective Hilbert's irreducibility theorem	2023	Raf Cluckers Pierre Dèbes Yotam I. Hendel Kien Huu Nguyen Floris Vermeulen
+ PDF Chat	Polynomial equations modulo prime numbers	2022	Arnaud Bodin Pierre Dèbes Salah Najib
+	Homotopic and Geometric Galois Theory	2022	Benjamin Collas Pierre Dèbes Hiroaki Nakamura Jakob Stix
+ PDF Chat	The Hilbert–Schinzel specialization property	2022	Arnaud Bodin Pierre Dèbes Joachim König Salah Najib
+	Polynomial equations modulo prime numbers	2022	Arnaud Bodin Pierre Dèbes Salah Najib
+ PDF Chat	Rational pullbacks of Galois covers	2021	Pierre Dèbes Joachim König François Legrand Danny Neftin
+	On parametric and generic polynomials with one parameter	2021	Pierre Dèbes Joachim König François Legrand Danny Neftin
+	On parametric and generic polynomials with one parameter	2021	Pierre Dèbes Joachim König François Legrand Danny Neftin
+	On parametric and generic polynomials with one parameter	2021	Pierre Dèbes Joachim König François Legrand Danny Neftin
+ PDF Chat	Prime and coprime values of polynomials	2020	Arnaud Bodin Pierre Dèbes Salah Najib
+ PDF Chat	The Schinzel hypothesis for polynomials	2020	Arnaud Bodin Pierre Dèbes Salah Najib
+	Prime and coprime values of polynomials.	2020	Arnaud Bodin Pierre Dèbes Salah Najib
+	The relative Schinzel hypothesis	2020	Arnaud Bodin Pierre Dèbes Salah Najib
+	The Hilbert-Schinzel specialization property	2020	Arnaud Bodin Pierre Dèbes Joachim König Salah Najib
+	Prime and coprime values of polynomials	2020	Arnaud Bodin Pierre Dèbes Salah Najib
+	Pre-Galois theory	2019	David Harbater Pierre Dèbes
+	Pre-Galois Theory	2019	David Harbater Pierre Dèbes
+	Mini-Workshop: Arithmetic Geometry and Symmetries around Galois and Fundamental Groups	2019	Benjamin Collas Pierre Dèbes Michael D. Fried
+	Twisted covers and specializations	2019	Pierre Dèbes François Legrand
+	The Schinzel Hypothesis for Polynomials	2019	Arnaud Bodin Pierre Dèbes Salah Najib
+	The Schinzel Hypothesis for Polynomials	2019	Arnaud Bodin Pierre Dèbes Salah Najib
+	Pre-Galois theory	2019	David Harbater Pierre Dèbes
+	Rational pullbacks of Galois covers	2018	Pierre Dèbes Joachim König François Legrand Danny Neftin
+	Groups with no parametric Galois realizations	2018	Pierre Dèbes
+	Rational pullbacks of Galois covers	2018	Pierre Dèbes Joachim König François Legrand Danny Neftin
+ PDF Chat	On the Malle conjecture and the self-twisted cover	2017	Pierre Dèbes
+	Families of polynomials and their specializations	2016	Arnaud Bodin Pierre Dèbes Salah Najib
+	Groups with no Parametric Galois Extension	2016	Pierre Dèbes
+ PDF Chat	Tchebotarev theorems for function fields	2016	Sara Checcoli Pierre Dèbes
+	Groups with no Parametric Galois Extension	2016	Pierre Dèbes
+ PDF Chat	Tchebotarev theorems for function fields	2016	Sara Checcoli Pierre Dèbes
+	Tchebotarev theorems for function fields	2015	Sara Checcoli Pierre Dèbes
+	Families of polynomials and their specializations	2015	Arnaud Bodin Pierre Dèbes Salah Najib
+	Reduction and specialization of polynomials	2015	Pierre Dèbes
+	Families of polynomials and their specializations	2015	Arnaud Bodin Pierre Dèbes Salah Najib
+	On the Malle conjecture and the self-twisted cover	2014	Pierre Dèbes
+	On the Malle conjecture and the self-twisted cover	2014	Pierre Dèbes
+ PDF Chat	Specialization results in Galois theory	2013	Pierre Dèbes François Legrand
+	Geometric and differential Galois theories	2013	Jean-Marc Couveignes Philip Boalch Pierre Dèbes Daniel Bertrand
+	Arithmetic and Geometry Around Galois Theory	2012	Pierre Dèbes Michel Emsalem Matthieu Romagny A. Muhammed Uludağ
+ PDF Chat	Galois Covers and the Hilbert-Grunwald Property	2012	Pierre Dèbes Nour Ghazi
+ PDF Chat	Specializations of indecomposable polynomials	2011	Arnaud Bodin Guillaume Chèze Pierre Dèbes
+	Twisted covers and specializations	2011	Pierre Dèbes François Legrand
+	Specialization results in Galois theory	2011	Pierre Dèbes François Legrand
+	Specializations of Galois covers of the line	2011	Pierre Dèbes Nour Ghazi
+	Specializations of Galois covers of the line	2011	Pierre Dèbes Nour Ghazi Viorel Barbu Ovidiu Ca rjǎ
+	Twisted covers and specializations	2011	Pierre Dèbes François Legrand
+	Specialization results in Galois theory	2011	Pierre Dèbes François Legrand
+ PDF Chat	Irreducibility of Hypersurfaces	2009	Arnaud Bodin Pierre Dèbes Salah Najib
+ PDF Chat	Indecomposable polynomials and their spectrum	2009	Arnaud Bodin Pierre Dèbes Salah Najib
+	Abelian obstructions in inverse Galois theory	2009	Anna Cadoret Pierre Dèbes
+ PDF Chat	Abelian constraints in inverse Galois theory	2008	Anna Cadoret Pierre Dèbes
+ PDF Chat	Bounds for Hilbert's Irreducibility Theorem	2008	Pierre Dèbes Yann Walkowiak
+	Irreducibility of hypersurfaces	2007	Arnaud Bodin Pierre Dèbes Salah Najib
+ PDF Chat	HARBATER–MUMFORD COMPONENTS AND TOWERS OF MODULI SPACES	2006	Pierre Dèbes Michel Emsalem
+	Groupes de galois arithmétiques et différentiels	2006	Daniel Bertrand Pierre Dèbes
+	Descent varieties for algebraic covers	2004	Pierre Dèbes Jean-Claude Douai Laurent Moret-Bailly
+	Corps [psi]-libres et théorie inverse de Galois infinie	2004	Pierre Dèbes Bruno Deschamps
+	Descent varieties for algebraic covers	2004	Pierre Dèbes Jean-Claude Douai Laurent Moret-Bailly
+	Corps $\psi$-libres et théorie inverse de Galois infinie. (French) [$\psi$-free fields and infinite inverse Galois theory]	2004	B. Deschamps Pierre Dèbes
+	FINITENESS RESULTS IN DESCENT THEORY	2003	Pierre Dèbes Geoffroy Derome
+	Descent theory for algebraic covers	2002	Pierre Dèbes
+	Arithmétique des revêtements algébriques	2001	Niels Borne Pierre Dèbes Jean-Claude Douai Michel Emsalem Stéphane Flon Qing Liu P Satgé
+ PDF Chat	Familles de Hurwitz et cohomologie non abélienne	2000	Pierre Dèbes Jean-Claude Douai Michel Emsalem
+	Arithmétique et espaces de modules de revêtements	1999	Pierre Dèbes
+ PDF Chat	Integral specialization of families of rational functions	1999	Pierre Dèbes Michael D. Fried
+ PDF Chat	Almost hilbertian fields	1999	Pierre Dèbes Dan Haran
+	On fields of moduli of curves	1999	Pierre Dèbes Michel Emsalem
+	Galois Covers with Prescribed Fibers: the Beckmann-Black Problem	1999	Pierre Dèbes
+	Regular realization of abelian groups with controlled ramification	1999	Pierre Dèbes
+	Local-global principles for algebraic covers	1998	Pierre Dèbes Jean-Claude Douai
+	Universal Hilbert subsets	1998	Pierre Dèbes Umberto Zannier
+	Fields of definition of p-adic covers	1998	Pierre Dèbes David Harbater
+	Hilbert's irreducibility theorem and $G$-functions	1997	Pierre Dèbes Umberto Zannier
+	ANNALES SCIENTIFIQUES DE L'É.N.S.	1997	Pierre Dèbes Jean-Claude Douai
+ PDF Chat	Algebraic covers: Field of moduli versus field of definition	1997	Pierre Dèbes Jean-Claude Douai
+	Hilbert subsets ands-integral points	1996	Pierre Dèbes
+	Covers of 𝑃¹ over the 𝑝-adics	1995	Pierre Dèbes
+ PDF Chat	On a problem of Dvornicich and Zannier	1995	Pierre Dèbes
+ PDF Chat	Nonrigid constructions in Galois theory	1994	Pierre Dèbes Michael D. Fried
+	On the irreducibility of the polynomials P(tm, Y)	1992	Pierre Dèbes
+	Arithmetic variation of fibers in families of curves. Part I: Hurwitz monodromy criteria for rational points on all members of the familiy.	1990	Pierre Dèbes M. Fried
+ PDF Chat	Rigidity and real residue class fields	1990	Michael D. Fried Pierre Dèbes
+ PDF Chat	Groupes de Galois sur $K(T)$	1990	Pierre Dèbes
+	Bound recent results on the Hilbert irreducibility theorem	1987	Pierre Dèbes
+	Resultats Recents Lies Au Theoreme D’Irreductibilite de Hilbert	1987	Pierre Dèbes
+ PDF Chat	G-fonctions et théorème d'irreductibilite de Hilbert	1986	Pierre Dèbes
+	Quelques Remarques Sur un Article de Bombieri Concernant le Theoreme de Decomposition de Weil	1985	Pierre Dèbes
+	Une version effective du théorème d'irréductibilité de Hilbert	1982	Pierre Dèbes

Common Coauthors

Coauthor	Papers Together
Arnaud Bodin	19
Salah Najib	17
François Legrand	12
Jean-Claude Douai	7
Danny Neftin	6
Joachim König	5
Michel Emsalem	5
David Harbater	4
Michael D. Fried	4
Joachim König	3
Benjamin Collas	3
Nour Ghazi	3
Sara Checcoli	3
Umberto Zannier	2
Daniel Bertrand	2
Laurent Moret-Bailly	2
Anna Cadoret	2
Floris Vermeulen	1
Yann Walkowiak	1
Qing Liu	1
Viorel Barbu	1
Kien Huu Nguyen	1
Hiroaki Nakamura	1
M. Fried	1
Ovidiu Ca rjǎ	1
Matthieu Romagny	1
Raf Cluckers	1
Stéphane Flon	1
Jakob Stix	1
B. Deschamps	1
P Satgé	1
Bruno Deschamps	1
Yuichiro Hoshi	1
Ariane Mézard	1
Philip Boalch	1
Jean-Marc Couveignes	1
Geoffroy Derome	1
Yotam I. Hendel	1
A. Muhammed Uludağ	1
Guillaume Chèze	1
Niels Borne	1
Dan Haran	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Algebraic covers: Field of moduli versus field of definition	1997	Pierre Dèbes Jean-Claude Douai	12
+	Topics in Galois Theory	2011	Jean-Pierre Serre	10
+ PDF Chat	Galois Covers and the Hilbert-Grunwald Property	2012	Pierre Dèbes Nour Ghazi	10
+ PDF Chat	On Hilbert's Irreducibility Theorem	1974	Michael D. Fried	10
+	Fields of definition of function fields and hurwitz families — groups as galois groups	1977	Michael D. Fried	8
+	Embedding Problems Over Large Fields	1996	Florian Pop	8
+	Polynomials with Special Regard to Reducibility	2000	Andrzej Schinzel	8
+ PDF Chat	Reducibility of rational functions in several variables	2008	Arnaud Bodin	7
+	Hurwitz families and arithmetic Galois groups	1985	Kevin R. Coombes David Harbater	7
+	Dirichlet’s theorem for polynomial rings	2008	Lior Bary‐Soroker	7
+	Generic Polynomials: Constructive Aspects of the Inverse Galois Problem	2002	Christian U. Jensen Arne Ledet 典子由井	7
+	Fundamentals of Diophantine Geometry	1983	Serge Lang	6
+ PDF Chat	A bound for the least prime ideal in the Chebotarev Density Theorem	1979	Jeffrey C. Lagarias Hugh L. Montgomery Andrew Odlyzko	6
+	Selected Topics on Polynomials	1982	Andrzej Schinzel	6
+	Galois Covers with Prescribed Fibers: the Beckmann-Black Problem	1999	Pierre Dèbes	6
+	Une généralisation de l'inégalité de Stein–Lorenzini	2005	Salah Najib	6
+	Specializations of Galois covers of the line	2011	Pierre Dèbes Nour Ghazi	5
+	Groups as Galois Groups	1996	Helmut Völklein	5
+	Reducibility of Polynomials in Two Variables	1993	Dino Lorenzini	5
+ PDF Chat	Bounds for Hilbert's Irreducibility Theorem	2008	Pierre Dèbes Yann Walkowiak	5
+ PDF Chat	The Tame Fundamental Group of a Formal Neighbourhood of a Divisor with Normal Crossings on a Scheme	1971	Alexander Grothendieck Jacob P. Murre	5
+	The total reducibility order of a polynomial in two variables	1989	Yosef Stein	5
+ PDF Chat	Sur le spectre d'un polynôme à plusieurs variables	2004	Salah Najib	4
+	On extensions of number fields obtained by specializing branched coverings.	1991	Sybilla Beckmann	4
+	On the Local Behavior of Specializations of Function Field Extensions	2018	Joachim König François Legrand Danny Neftin	4
+	Irreducible values of polynomials	2011	Lior Bary‐Soroker	4
+	Hurwitz Schemes and Irreducibility of Moduli of Algebraic Curves	1969	William Fulton	4
+ PDF Chat	Specialization results in Galois theory	2013	Pierre Dèbes François Legrand	4
+	Groups with no parametric Galois realizations	2018	Pierre Dèbes	4
+ PDF Chat	The Embedding Problem Over a Hilbertian PAC-Field	1992	Michael D. Fried Helmut Völklein	4
+	Descente effective du corps de définition des revêtements	1999	Bounab Sadi	4
+	Class Field Theory	1990	Emil Artin John Tate	4
+ PDF Chat	The inverse Galois problem and rational points on moduli spaces	1991	Michael D. Fried Helmut V�lklein	4
+ PDF Chat	G-fonctions et théorème d'irreductibilite de Hilbert	1986	Pierre Dèbes	4
+ PDF Chat	Lectures on the Mordell-Weil Theorem	1989	Jean-Pierre Serre	3
+	Rational pullbacks of Galois covers	2018	Pierre Dèbes Joachim König François Legrand Danny Neftin	3
+ PDF Chat	Rigidity and real residue class fields	1990	Michael D. Fried Pierre Dèbes	3
+	Fields of definition of p-adic covers	1998	Pierre Dèbes David Harbater	3
+	The Schinzel Hypothesis for Polynomials	2019	Arnaud Bodin Pierre Dèbes Salah Najib	3
+ PDF Chat	On the Sprindžuk-Weissauer approach to universal Hilbert subsets	1985	Michael D. Fried	3
+	Cohomology of Number Fields	2008	Jürgen Neukirch Alexander Schmidt Kay Wingberg	3
+	Arithmetic of 3 and 4 Branch Point Covers	1990	M. Fried	3
+	Local-global principles for algebraic covers	1998	Pierre Dèbes Jean-Claude Douai	3
+	On solvable number fields	1979	J�rgen Neukirch	3
+	Generic polynomials are descent-generic	2001	Gregor Kemper	3
+	On the irreducibility of the polynomials P(tm, Y)	1992	Pierre Dèbes	3
+	Galois coverings of the arithmetic line	1987	David Harbater	3
+	On the reduction modulo p of an absolutely irreducible polynomial f (x, y)	1997	Umberto Zannier	3
+ PDF Chat	Uniformity of rational points	1997	Lucia Caporaso Joe Harris Barry Mazur	3
+	Arithmétique et espaces de modules de revêtements	1999	Pierre Dèbes	3