×
Author ID: debes.pierre Recent zbMATH articles by "Dèbes, Pierre"
Published as: Dèbes, Pierre; Debes, Pierre
External Links: MGP
Videos: carmin.tv

Publications by Year

Citations contained in zbMATH Open

58 Publications have been cited 384 times in 195 Documents Cited by Year
Algebraic covers: Field of moduli versus field of definition. Zbl 0906.12001
Dèbes, Pierre; Douai, Jean-Claude
35
1997
On fields of moduli of curves. Zbl 0934.14019
Dèbes, Pierre; Emsalem, Michel
29
1999
The regular inverse Galois problem over large fields. Zbl 0905.12004
Dèbes, Pierre; Deschamps, Bruno
25
1997
Galois covers and the Hilbert-Grunwald property. Zbl 1255.14022
Dèbes, Pierre; Ghazi, Nour
21
2012
Nonrigid constructions in Galois theory. Zbl 0788.12001
Debes, Pierre; Fried, Michael D.
20
1994
Galois covers with prescribed fibers: The Beckmann-Black problem. Zbl 0954.12002
Dèbes, Pierre
19
1999
Indecomposable polynomials and their spectrum. Zbl 1228.12002
Bodin, Arnaud; Dèbes, Pierre; Najib, Salah
13
2009
Rigidity and real residue class fields. Zbl 0667.14014
Fried, Mike; Debes, Pierre
10
1990
On the Malle conjecture and the self-twisted cover. Zbl 1425.11179
Dèbes, Pierre
10
2017
Bounds for Hilbert’s irreducibility theorem. Zbl 1213.12005
Dèbes, Pierre; Walkowiak, Yann
10
2008
Topological and analytic methods in inverse Galois theory: Riemann’s existence theorem. (Méthodes topologiques et analytiques en théorie inverse de Galois: Théorème d’existence de Riemann.) Zbl 1037.12007
Dèbes, Pierre
9
2001
Irreducibility of hypersurfaces. Zbl 1175.12001
Bodin, Arnaud; Dèbes, Pierre; Najib, Salah
9
2009
Twisted covers and specializations. Zbl 1321.11114
Dèbes, Pierre; Legrand, François
8
2012
Integral specialization of families of rational functions. Zbl 1016.12002
Dèbes, Pierre; Fried, Michael D.
8
1999
Local-global principles for algebraic covers. Zbl 0915.12003
Dèbes, Pierre; Douai, Jean-Claude
8
1998
Covers of \(\mathbb{P}^ 1\) over the \(p\)-adics. Zbl 0856.12004
Dèbes, Pierre
7
1995
Gerbes and covers. Zbl 0917.18008
Dèbes, Pierre; Douai, Jean-Claude
7
1999
On the irreducibility of the polynomials \(P(t^ m,Y)\). Zbl 0770.12005
Dèbes, Pierre
7
1992
Hurwitz families and nonabelian cohomology. (Familles de Hurwitz et cohomologie non abélienne.) Zbl 0971.18011
Dèbes, Pierre; Douai, Jean-Claude; Emsalem, Michel
7
2000
\(\psi\)-free fields and infinite inverse Galois theory. (Corps \(\psi\)-libres et théorie inverse de Galois infinie.) Zbl 1051.12003
Dèbes, Pierre; Deschamps, Bruno
7
2004
The Schinzel hypothesis for polynomials. Zbl 1469.12003
Bodin, Arnaud; Dèbes, Pierre; Najib, Salah
7
2020
Harbater-Mumford components and towers of moduli spaces. Zbl 1101.12003
Dèbes, Pierre; Emsalem, Michel
6
2006
Density results for Hilbert subsets. Zbl 0923.12001
Dèbes, Pierre
6
1999
Specialization results in Galois theory. Zbl 1282.14050
Dèbes, Pierre; Legrand, François
6
2013
\(G\)-functions and Hilbert’s irreducibility theorem. (\(G\)-fonctions et théorème d’irréductibilité de Hilbert.) Zbl 0565.12012
Dèbes, Pierre
6
1986
Groups with no parametric Galois realizations. Zbl 1387.12003
Dèbes, Pierre
6
2018
Universal Hilbert subsets. Zbl 0910.12002
Dèbes, Pierre; Zannier, Umberto
5
1998
Prime and coprime values of polynomials. Zbl 1470.11044
Bodin, Arnaud; Dèbes, Pierre; Najib, Salah
5
2020
Arithmetic variation of fibers in families of curves. I: Hurwitz monodromy criteria for rational points on all members of the family. Zbl 0699.14033
Dèbes, Pierre; Fried, Mike
4
1990
Hilbert subsets and \(s\)-integral points. Zbl 0853.12001
Dèbes, Pierre
4
1996
Almost Hilbertian fields. Zbl 0933.12002
Dèbes, Pierre; Haran, Dan
4
1999
Galois theory and geometry: An introduction. (Théorie de Galois et géométrie: Une introduction.) Zbl 1037.12006
Dèbes, Pierre
4
2001
Some arithmetic properties of algebraic covers. Zbl 0977.14009
Dèbes, Pierre
4
1999
On parametric and generic polynomials with one parameter. Zbl 1472.12003
Dèbes, Pierre; König, Joachim; Legrand, François; Neftin, Danny
4
2021
Arithmetic and moduli spaces of coverings. (Arithmétique et espaces de modules de revêtements.) Zbl 0941.14007
Dèbes, Pierre
3
1999
Groupes de Galois sur K(T). (Galois groups over K(T)). Zbl 0729.12010
Dèbes, Pierre
3
1990
Families of polynomials and their specializations. Zbl 1380.12002
Bodin, Arnaud; Dèbes, Pierre; Najib, Salah
3
2017
Fields of definition of \(p\)-adic covers. Zbl 0905.14015
Dèbes, Pierre; Harbater, David
3
1998
Reduction and specialization of polynomials. Zbl 1346.12001
Dèbes, Pierre
3
2016
Descent varieties for algebraic covers. Zbl 1077.14019
Dèbes, Pierre; Douai, Jean-Claude; Moret-Bailly, Laurent
3
2004
Recent results connected with Hilbert’s irreducibility theorem. (Résultats récents liés au théorème d’irreductibilité de Hilbert.) Zbl 0632.12004
Dèbes, Pierre
3
1987
Tchebotarev theorems for function fields. Zbl 1400.11150
Checcoli, Sara; Dèbes, Pierre
2
2016
Regular realization of abelian groups with controlled ramification. Zbl 0997.12004
Dèbes, Pierre
2
1999
Descent theory for algebraic covers. Zbl 1086.14502
Dèbes, Pierre
2
2002
Finiteness results in descent theory. Zbl 1100.14512
Dèbes, Pierre; Derome, Geoffroy
2
2003
An introduction to the modular tower program. Zbl 1162.12002
Dèbes, Pierre
2
2006
Specializations of indecomposable polynomials. Zbl 1298.12001
Bodin, Arnaud; Chèze, Guillaume; Dèbes, Pierre
2
2012
Arithmetic and differential Galois groups. Proceedings of a meeting, Luminy, France, March 8–13, 2004. (Groupes de Galois arithmétique et différentiels.) Zbl 1108.12001
1
2006
On a problem of Dvornicich and Zannier. Zbl 0849.12003
Dèbes, Pierre
1
1995
Hilbert’s irreducibility theorem and \(G\)-functions. Zbl 0892.11024
Dèbes, Pierre; Zannier, Umberto
1
1997
Rational pullbacks of Galois covers. Zbl 1480.14011
Dèbes, Pierre; König, Joachim; Legrand, François; Neftin, Danny
1
2021
Mini-workshop: Arithmetic geometry and symmetries around Galois and fundamental groups. Abstracts from the mini-workshop held April 15–21, 2018. Zbl 1409.00080
1
2018
Topological coverings. (Revêtements topologiques.) Zbl 1078.14520
Dèbes, Pierre
1
2001
Abelian constraints in inverse Galois theory. Zbl 1197.12003
Cadoret, Anna; Dèbes, Pierre
1
2009
Some remarks on an article of Bombieri concerning the Weil decomposition theorem. (Quelques remarques sur un article de Bombieri concernant le théorème de décomposition de Weil.) Zbl 0563.12010
Dèbes, Pierre
1
1985
Parties hilbertiennes et progressions géométriques. (Hilbert subsets and geometric progressions). Zbl 0589.12001
Dèbes, Pierre
1
1986
Homotopic and geometric Galois theory. Abstracts from the workshop held March 7–13, 2021 (online meeting). Zbl 1487.00035
1
2021
The Hilbert-Schinzel specialization property. Zbl 1500.11069
Bodin, Arnaud; Dèbes, Pierre; König, Joachim; Najib, Salah
1
2022
The Hilbert-Schinzel specialization property. Zbl 1500.11069
Bodin, Arnaud; Dèbes, Pierre; König, Joachim; Najib, Salah
1
2022
On parametric and generic polynomials with one parameter. Zbl 1472.12003
Dèbes, Pierre; König, Joachim; Legrand, François; Neftin, Danny
4
2021
Rational pullbacks of Galois covers. Zbl 1480.14011
Dèbes, Pierre; König, Joachim; Legrand, François; Neftin, Danny
1
2021
Homotopic and geometric Galois theory. Abstracts from the workshop held March 7–13, 2021 (online meeting). Zbl 1487.00035
1
2021
The Schinzel hypothesis for polynomials. Zbl 1469.12003
Bodin, Arnaud; Dèbes, Pierre; Najib, Salah
7
2020
Prime and coprime values of polynomials. Zbl 1470.11044
Bodin, Arnaud; Dèbes, Pierre; Najib, Salah
5
2020
Groups with no parametric Galois realizations. Zbl 1387.12003
Dèbes, Pierre
6
2018
Mini-workshop: Arithmetic geometry and symmetries around Galois and fundamental groups. Abstracts from the mini-workshop held April 15–21, 2018. Zbl 1409.00080
1
2018
On the Malle conjecture and the self-twisted cover. Zbl 1425.11179
Dèbes, Pierre
10
2017
Families of polynomials and their specializations. Zbl 1380.12002
Bodin, Arnaud; Dèbes, Pierre; Najib, Salah
3
2017
Reduction and specialization of polynomials. Zbl 1346.12001
Dèbes, Pierre
3
2016
Tchebotarev theorems for function fields. Zbl 1400.11150
Checcoli, Sara; Dèbes, Pierre
2
2016
Specialization results in Galois theory. Zbl 1282.14050
Dèbes, Pierre; Legrand, François
6
2013
Galois covers and the Hilbert-Grunwald property. Zbl 1255.14022
Dèbes, Pierre; Ghazi, Nour
21
2012
Twisted covers and specializations. Zbl 1321.11114
Dèbes, Pierre; Legrand, François
8
2012
Specializations of indecomposable polynomials. Zbl 1298.12001
Bodin, Arnaud; Chèze, Guillaume; Dèbes, Pierre
2
2012
Indecomposable polynomials and their spectrum. Zbl 1228.12002
Bodin, Arnaud; Dèbes, Pierre; Najib, Salah
13
2009
Irreducibility of hypersurfaces. Zbl 1175.12001
Bodin, Arnaud; Dèbes, Pierre; Najib, Salah
9
2009
Abelian constraints in inverse Galois theory. Zbl 1197.12003
Cadoret, Anna; Dèbes, Pierre
1
2009
Bounds for Hilbert’s irreducibility theorem. Zbl 1213.12005
Dèbes, Pierre; Walkowiak, Yann
10
2008
Harbater-Mumford components and towers of moduli spaces. Zbl 1101.12003
Dèbes, Pierre; Emsalem, Michel
6
2006
An introduction to the modular tower program. Zbl 1162.12002
Dèbes, Pierre
2
2006
Arithmetic and differential Galois groups. Proceedings of a meeting, Luminy, France, March 8–13, 2004. (Groupes de Galois arithmétique et différentiels.) Zbl 1108.12001
1
2006
\(\psi\)-free fields and infinite inverse Galois theory. (Corps \(\psi\)-libres et théorie inverse de Galois infinie.) Zbl 1051.12003
Dèbes, Pierre; Deschamps, Bruno
7
2004
Descent varieties for algebraic covers. Zbl 1077.14019
Dèbes, Pierre; Douai, Jean-Claude; Moret-Bailly, Laurent
3
2004
Finiteness results in descent theory. Zbl 1100.14512
Dèbes, Pierre; Derome, Geoffroy
2
2003
Descent theory for algebraic covers. Zbl 1086.14502
Dèbes, Pierre
2
2002
Topological and analytic methods in inverse Galois theory: Riemann’s existence theorem. (Méthodes topologiques et analytiques en théorie inverse de Galois: Théorème d’existence de Riemann.) Zbl 1037.12007
Dèbes, Pierre
9
2001
Galois theory and geometry: An introduction. (Théorie de Galois et géométrie: Une introduction.) Zbl 1037.12006
Dèbes, Pierre
4
2001
Topological coverings. (Revêtements topologiques.) Zbl 1078.14520
Dèbes, Pierre
1
2001
Hurwitz families and nonabelian cohomology. (Familles de Hurwitz et cohomologie non abélienne.) Zbl 0971.18011
Dèbes, Pierre; Douai, Jean-Claude; Emsalem, Michel
7
2000
On fields of moduli of curves. Zbl 0934.14019
Dèbes, Pierre; Emsalem, Michel
29
1999
Galois covers with prescribed fibers: The Beckmann-Black problem. Zbl 0954.12002
Dèbes, Pierre
19
1999
Integral specialization of families of rational functions. Zbl 1016.12002
Dèbes, Pierre; Fried, Michael D.
8
1999
Gerbes and covers. Zbl 0917.18008
Dèbes, Pierre; Douai, Jean-Claude
7
1999
Density results for Hilbert subsets. Zbl 0923.12001
Dèbes, Pierre
6
1999
Almost Hilbertian fields. Zbl 0933.12002
Dèbes, Pierre; Haran, Dan
4
1999
Some arithmetic properties of algebraic covers. Zbl 0977.14009
Dèbes, Pierre
4
1999
Arithmetic and moduli spaces of coverings. (Arithmétique et espaces de modules de revêtements.) Zbl 0941.14007
Dèbes, Pierre
3
1999
Regular realization of abelian groups with controlled ramification. Zbl 0997.12004
Dèbes, Pierre
2
1999
Local-global principles for algebraic covers. Zbl 0915.12003
Dèbes, Pierre; Douai, Jean-Claude
8
1998
Universal Hilbert subsets. Zbl 0910.12002
Dèbes, Pierre; Zannier, Umberto
5
1998
Fields of definition of \(p\)-adic covers. Zbl 0905.14015
Dèbes, Pierre; Harbater, David
3
1998
Algebraic covers: Field of moduli versus field of definition. Zbl 0906.12001
Dèbes, Pierre; Douai, Jean-Claude
35
1997
The regular inverse Galois problem over large fields. Zbl 0905.12004
Dèbes, Pierre; Deschamps, Bruno
25
1997
Hilbert’s irreducibility theorem and \(G\)-functions. Zbl 0892.11024
Dèbes, Pierre; Zannier, Umberto
1
1997
Hilbert subsets and \(s\)-integral points. Zbl 0853.12001
Dèbes, Pierre
4
1996
Covers of \(\mathbb{P}^ 1\) over the \(p\)-adics. Zbl 0856.12004
Dèbes, Pierre
7
1995
On a problem of Dvornicich and Zannier. Zbl 0849.12003
Dèbes, Pierre
1
1995
Nonrigid constructions in Galois theory. Zbl 0788.12001
Debes, Pierre; Fried, Michael D.
20
1994
On the irreducibility of the polynomials \(P(t^ m,Y)\). Zbl 0770.12005
Dèbes, Pierre
7
1992
Rigidity and real residue class fields. Zbl 0667.14014
Fried, Mike; Debes, Pierre
10
1990
Arithmetic variation of fibers in families of curves. I: Hurwitz monodromy criteria for rational points on all members of the family. Zbl 0699.14033
Dèbes, Pierre; Fried, Mike
4
1990
Groupes de Galois sur K(T). (Galois groups over K(T)). Zbl 0729.12010
Dèbes, Pierre
3
1990
Recent results connected with Hilbert’s irreducibility theorem. (Résultats récents liés au théorème d’irreductibilité de Hilbert.) Zbl 0632.12004
Dèbes, Pierre
3
1987
\(G\)-functions and Hilbert’s irreducibility theorem. (\(G\)-fonctions et théorème d’irréductibilité de Hilbert.) Zbl 0565.12012
Dèbes, Pierre
6
1986
Parties hilbertiennes et progressions géométriques. (Hilbert subsets and geometric progressions). Zbl 0589.12001
Dèbes, Pierre
1
1986
Some remarks on an article of Bombieri concerning the Weil decomposition theorem. (Quelques remarques sur un article de Bombieri concernant le théorème de décomposition de Weil.) Zbl 0563.12010
Dèbes, Pierre
1
1985
all top 5

Cited by 192 Authors

27 Dèbes, Pierre
16 König, Joachim
14 Legrand, François
8 Bodin, Arnaud
7 Zannier, Umberto M.
6 Chèze, Guillaume
6 Fehm, Arno
6 Najib, Salah
6 Paran, Elad
5 Douai, Jean-Claude
5 Fried, Michael David
5 Neftin, Danny
4 Bresciani, Giulio
4 Cadoret, Anna
4 Collas, Benjamin
4 Deschamps, Bruno
4 Voight, John Michael
4 Wewers, Stefan
3 Bary-Soroker, Lior
3 Behajaina, Angelot
3 Checcoli, Sara
3 Corvaja, Pietro
3 Emsalem, Michel
3 Hasson, Hilaf
3 Hidalgo, Rubén Antonio
3 Müller, Peter
3 Quispe, Saül
3 Sijsling, Jeroen
3 von zur Gathen, Joachim
2 Artebani, Michela
2 Bandman, Tatiana M.
2 Bauchère, Hugues
2 Bonciocat, Nicolae Ciprian
2 Derome, Geoffroy
2 Dettweiler, Michael
2 Fried, Sela
2 Ghazi, Nour
2 Hallouin, Emmanuel
2 Haran, Dan
2 Harbater, David
2 Kim, Kwang-Seob
2 Kontogeorgis, Aristides I.
2 Kunyavskiĭ, Boris Èmmanuilovich
2 Lercier, Reynald
2 Moret-Bailly, Laurent
2 Musty, Michael
2 Pharamond dit d’Costa, Layla
2 Reyes-Carocca, Sebastián
2 Ritzenthaler, Christophe
2 Schiavone, Sam
2 Vistoli, Angelo
2 Völklein, Helmut
2 Wolfart, Jürgen
1 Antoniadis, Jannis A.
1 Arias-de-Reyna, Sara
1 Asgarli, Shamil
1 Badr, Eslam E.
1 Bandini, Andrea
1 Barkatou, Moulay A.
1 Bars Cortina, Francesc
1 Barth, Dominik
1 Bayarmagnai, Gombodorj
1 Bell, Renee
1 Benelmekki, Mohamed
1 Bertone, Cristina
1 Bombieri, Enrico
1 Bonciocat, Anca Iuliana
1 Bonciocat, Ciprian Mircea
1 Booher, Jeremy
1 Brosnan, Patrick
1 Bugeaud, Yann
1 Burgos Gil, José Ignacio
1 Busé, Laurent
1 Cassou-Noguès, Pierrette
1 Castryck, Wouter
1 Cau, Orlando
1 Chen, Pengwen
1 Chen, William Yun
1 Çınarcı, Burcu
1 Cipu, Mihai
1 Clark, Peter Louis
1 Cluckers, Raf
1 Conder, Marston Donald Edward
1 Conti, Diego
1 Couveignes, Jean-Marc
1 Demarche, Cyril
1 Demeio, Julian Lawrence
1 Ding, Zhiguo
1 Dittmann, Philip
1 Doyle, John R.
1 Dubickas, Artūras
1 Dvornicich, Roberto
1 Ellenberg, Jordan Stuart
1 Eyral, Christophe
1 Fannjiang, Albert C.
1 Filaseta, Michael A.
1 Flon, Stéphane
1 Fuertes, Yolanda
1 Galligo, André
1 Ganbat, Batmunkh
...and 92 more Authors
all top 5

Cited in 66 Serials

24 Journal of Algebra
17 Israel Journal of Mathematics
11 Journal de Théorie des Nombres de Bordeaux
10 Journal of Number Theory
10 Journal of Pure and Applied Algebra
9 Annales de l’Institut Fourier
7 Journal of Symbolic Computation
6 Manuscripta Mathematica
6 Transactions of the American Mathematical Society
5 Proceedings of the American Mathematical Society
4 Mathematics of Computation
3 Communications in Algebra
3 Advances in Mathematics
3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
3 Archiv der Mathematik
3 Bulletin of the London Mathematical Society
3 Journal für die Reine und Angewandte Mathematik
3 Finite Fields and their Applications
2 Inventiones Mathematicae
2 Mathematische Annalen
2 Osaka Journal of Mathematics
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2 Experimental Mathematics
2 Annals of Mathematics. Second Series
2 LMS Journal of Computation and Mathematics
2 Journal of the European Mathematical Society (JEMS)
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
2 Oberwolfach Reports
2 Algebra & Number Theory
2 Albanian Journal of Mathematics
1 Inverse Problems
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Acta Arithmetica
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Bulletin de la Société Mathématique de France
1 Compositio Mathematica
1 Duke Mathematical Journal
1 Glasgow Mathematical Journal
1 Journal of Differential Equations
1 Mathematische Nachrichten
1 Mathematische Zeitschrift
1 Monatshefte für Mathematik
1 Proceedings of the London Mathematical Society. Third Series
1 Topology and its Applications
1 Revista Matemática Iberoamericana
1 Journal of the American Mathematical Society
1 Séminaire de Théorie des Nombres de Bordeaux. Deuxième Série
1 L’Enseignement Mathématique. 2e Série
1 Indagationes Mathematicae. New Series
1 Applicable Algebra in Engineering, Communication and Computing
1 Journal of Algebraic Geometry
1 Combinatorics, Probability and Computing
1 Annales Mathématiques Blaise Pascal
1 Documenta Mathematica
1 Conformal Geometry and Dynamics
1 Journal of Group Theory
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Central European Journal of Mathematics
1 Journal of the Institute of Mathematics of Jussieu
1 Journal of Algebra and its Applications
1 International Journal of Number Theory
1 Science China. Mathematics
1 Research in Number Theory
1 Bollettino dell’Unione Matematica Italiana
1 Graduate Journal of Mathematics

Citations by Year