Pierre Dèbes / Publications

• 4- Geometry and Arithmetic around Galois Theory. Proceedings of the 2008-2009 GTEM/Tubitak Summer Schools
  in Istanbul, Progress in Mathematics, vol. 304, Birkhauser, 2013, 385 pages. [co-editor with M. Emsalem, M. Romagny, M. Uludag].
• 3- Groupes de Galois géométriques et différentiels. Proceedings of the 2010 Luminy meeting, 29 Mars-3 Avril 2010,
  Séminaires et Congrès, vol. 27, SMF, 2012. [co-editeur avec D. Bertrand, P. Boalch, J.-M. Couveignes]
• 2- Arithmétique des revêtements de la droite. Notes de cours DEA/Master, chapitres 1-8, 275 pages, 2009. File PDF.
• 1- Groupes de Galois arithmétiques et différentiels. Proceedings of the 2004 Luminy meeting, March 8-13, Séminaires et Congrès,
  vol. 13, SMF, 392 pages, 2006. [co-editor with D. Bertrand]

• 53- Function field extensions and the Tchebotarev property. manuscript 2012. [with S. Checcoli]. File PDF.
• 52- Specialization results in Galois theory. Transactions A. M. S., (to appear). [with F. Legrand]. File PDF.
• 51- Twisted covers and specializations. in Galois-Teichmueller theory and Arithmetic Geometry, Proceedings for
  Conferences in Kyoto (October 2010), H. Nakamura, F. Pop, L. Schneps, A. Tamagawa eds., Advanced Studies
  in Pure Mathematics [with F. Legrand]. File PDF.
• 50- Specializations of indecomposable polynomials. Manuscripta Math. (to appear). [with A. Bodin and G. Chèze]. File PDF.
• 49- Galois covers and the Hilbert-Grunwald property. Ann. Inst. Fourier, vol. 62, 2012, (to appear). [with N. Ghazi]. File PDF.
• 48- Specializations of Galois covers of the line. Alexandru Myller Mathematical Seminar, Proceedings of the Centennial Conference,
  V. Barbu and O. Carja, dds, American Institute of Physics, vol. 1329, 2011, 98-108, [with N. Ghazi]. File PDF.
• 47- On indecomposable polynomials and their spectrum. Acta Arithmetica, vol. 139, 2009, 79-100 [with A. Bodin and S. Najib]. File PDF.
• 46- Irreducibility of hypersurfaces. Comm. in Alg., vol. 37, no 6, 2009, 1884-1900. [with A. Bodin and S. Najib]. File PDF.
• 45- Abelian constraints in inverse Galois theory. Manuscripta Math., vol. 128, no 3, 2009, 329-341. [with A. Cadoret]. File PDF.
• 44- Bounds for Hilbert's Irreducibility Theorem. Pure & Applied Math. Quarterly, vol. 4, no 4, 2008, 1059-1083,
  [with Y. Walkowiak]. File PDF.
• 43- An introduction to the modular tower program. in Groupes de Galois arithmétiques et différentiels (Luminy 2004),
  eds. D. Bertrand and P. Dèbes, Séminaires et Congrès, vol. 13, SMF, 2006, 127-144. File PDF.
  (voir aussi Modular Towers. Lecture Notes, GTEM Summer School, 09-20 June, 2008, Istanbul, Geometry and Arithmetic
  of Moduli Spaces of Covers. File PDF.
• 42- Harbater-Mumford Components and Towers of Moduli Spaces. J. Inst. Math. Jussieu, vol. 5, no 3, 2006, 351-371.
  [with M. Emsalem]. File PDF.
• 41- Corps psi-libres et théorie inverse de Galois infinie. J. fur die reine und angew. Math., vol. 574, 2004, 197-218.
  [with B. Deschamps]. File PDF.
• 40- Descent varieties for algebraic covers. J. fur die reine und angew. Math., vol. 574, 2004, 51-78.
  [with J.-C. Douai and L. Moret-Bailly]. File PDF.
• 39- Finiteness results in descent theory. J. London Math. Soc. (2), vol. 68, 2003, 52-64. [with G. Derome]. File PDF.
• 38- Descent theory for algebraic covers. Proceedings of the Von Neumann Symposium on Arithmetic Fundamental Groups
  and Noncommutative Algebra (MSRI 1999), Proceedings of Symposia in Pure Mathematics, vol. 70, AMS,
  ed. by M. Fried and Y. Ihara, (2002), 3-25. File PDF.
• 37- Revêtements topologiques. annexe du volume Arithmétique des revêtements algébriques, Proceedings des Journées
  ``Revêtements'' (St-Etienne 2000), Séminaires et Congrès, vol. 5, SMF, 2001, 163-214. File PDF.
• 36- Méthodes topologiques et analytiques en théorie inverse de Galois -- théorème d'existence de Riemann. dans Arithmétique
  des revêtements algébriques, Proceedings des Journées ``Revêtements'' (St-Etienne 2000), Séminaires et Congrès, vol. 5,
  SMF, 2001, 27-41. File PDF.
• 35- Théorie inverse de Galois et géométrie - une introduction. dans Arithmétique des revêtements algébriques, Proceedings
  des Journées ``Revêtements'' (St-Etienne 2000), Séminaires et Congrès, vol. 5, SMF, 2001, 1-26. File PDF.
• 34- Familles de Hurwitz et cohomologie non-abélienne. Ann. Inst. Fourier, vol. 50, no 1, 2000, 113-149.
  [with J.-C. Douai and M. Emsalem]. File PDF.
• 33- Regular realization of abelian groups with controlled ramification. in Applications of Curves over Finite Fields,
  Contemporary Math., vol. 245, M. D. Fried ed., 1999, 109-115. File PDF.
• 32- Galois covers with prescribed fibers: the Beckmann-Black problem. Ann. Scuola Norm. Sup. Pisa, Cl. Sci. 4, vol. 28,
  1999, 273-286. File PDF.
• 31- Integral specialization of families of rational functions. Pacific J. Math, vol. 190, no 1, 1999, 45-85. [with M. Fried]. File PDF.
• 30- Some arithmetic properties of algebraic covers. in Aspects of Galois Theory, London Math. Soc. Lecture Note Series,
  vol. 256, H. Voelklein, P. Mueller, D. Harbater and J. G. Thompson ed., Cambridge University Press, 1999, 66-84. File PDF.
• 29- Arithmétique et espaces de modules de revêtements. in Number Theory in Progress, Proceedings of the Number Theory
  conference in Zakopane, (K. Gyory, H. Iwaniec and J. Urbanowicz ed.), Walter de Gruyter, 1999, 75-102. File PDF
  (english version: File PDF)
• 28- Almost hilbertian fields. Acta Arithmetica, vol. 88, no 3, 1999, 269-287. [with D. Haran]. File PDF.
• 27- Density results for Hilbert subsets. Indian J. Pure and Applied Math., vol. 30, no 1, 1999, 109-127. File PDF.
• 26- Gerbes and covers. Comm. in Algebra, vol. 27, no 2, 1999, 577-594. [with J.-C. Douai]. File PDF.
• 25- On fields of moduli of curves. J. Algebra, vol. 211, 1999, 42-56. [with M. Emsalem]. File PDF.
• 24- Fields of definition of p-adic covers. J. fur die reine und angew. Math., vol. 498, 1998, 223-236. [with D. Harbater]. File PDF.
• 23- Universal Hilbert subsets. Math. Proc. Cambridge Phi. Soc., vol. 124, 1998, 127-134. [with U. Zannier]. File PDF.
• 22- Local-global principles for algebraic covers. Israel J. Math., vol. 103, 1998, 237-257. [with J.-C. Douai]. File PDF.
• 21- Hilbert's irreducibility theorem and G-functions. Math. Annalen, vol. 309, no 3, 1997, 491-503. [with U. Zannier]. File PDF.
• 20- The Regular Inverse Galois problem over large fields. in Geometric Galois Action, London Math. Soc. Lecture Note Series,
  vol. 243, L. Schneps and P. Lochak ed., Cambridge University Press, 1997, 119-138. [with B. Deschamps]. File PDF.
• 19- Algebraic covers: field of moduli versus field of definition. Annales Sci. E.N.S., vol. 30, 1997, 303-338. [with J.-C. Douai]. File PDF.
• 18- Hilbert subsets and s-integral points. Manuscripta Mathematica, vol. 89, 1996, 107-137. File PDF.
• 17- Compte rendu sur le livre Topics in Galois Theory de J.P.-Serre. Gazette des mathématiciens, vol. 66, SMF, 10/95,
  [traduction d'une ``Book review'' de M.~Fried, Bull. A.M.S., vol. 30, (01/94)]. File PDF.
• 16- On a problem of Dvornicich and Zannier. Acta Arithmetica, vol. 73, no 4, 1995, 379-387. File PDF.
• 15- Covers of P1 over the p-adics. in Recent Developments in the Inverse Galois Problem, Contemporary Math., vol. 186,
  M. D. Fried ed., 1995, 217-238. File PDF.
• 14- Nonrigid constructions in Galois theory. Pacific J. Math., vol. 163, no 1, 1994, 81-122. [with M. Fried]. File PDF.
• 13- Critères de descente pour le corps de définition des G-revêtements de P1. C.R. Acad. Sc. Paris, Série I, t. 315,
  1992, 863-868. File PDF.
• 12- On the irreducibility of the polynomials P(t^m,Y). J. Number Theory, vol. 42, no 2, 1992, 141-157. File PDF.
• 11- Groupes de Galois sur K(T). Sém. Th. Nombres de Bordeaux, vol. 2, 1990, 229-243. File PDF.
• 10- Etude arithmétique des revêtements de P1. mémoire HDR, Publications Univ. Paris 10 et Publications Univ. Paris 6
  (``Problèmes diophantiens''), 1991. File PDF.
• 9- Rigidity and real residue class fields. Acta Arithmetica, vol. 56, no 4, 1990, 291-323. [with M. Fried]. File PDF.
• 8- Arithmetic variation of fibers in algebraic families of curves. J. fur die reine und angew. math., vol. 409, 1990, 106-137.
  [with M. Fried]. File PDF.
• 7- Résultats récents liés au théorème d'irréductibilité de Hilbert. Sém. Th. Nombres Paris 85/86, 27ème année, 1987, 19-37. File PDF.
• 6- Parties hilbertiennes et progressions géométriques. C.R. Acad. Sc. Paris, Série I, t. 302, no 3, 1986, 87-90. File PDF.
• 5- G-fonctions et théorème d'irréductibilité de Hilbert. Acta Arithmetica, vol. 47, no 4, 1986, 371-402. File PDF.
• 4- Quelques remarques sur un article de Bombieri concernant le théorème de décomposition de Weil. Amer. J. Math., 107,
  1985, 39-44. File PDF.
• 3- Valeurs algébriques de fonctions algébriques et théorème d'irréductibilité de Hilbert. Thèse de doctorat, Publications
  Univ. Paris 6, 1984. File PDF.
• 2- Spécialisations de polynômes. Math. Rep. Acad. Sci., Royal Soc. Canada, vol. 5, no 6, 1983, 247-252. File PDF.
• 1- Une version effective du théorème d'irréductibilité de Hilbert. Sém. Anal. Ultramétrique Amice-Christol-Robba,
  10ème année, 1982/83, no 10. File PDF.