Pierre Dèbes
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Pierre Dèbes |
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Bureau : M2 310 |
UFR de Mathématiques |
Publications :
``Galois covers and the Hilbert-Grunwald property'', preprint [with N.~Ghazi] .pdf
``On indecomposable polynomials and their spectrum'', Acta Arithmetica, 139, (2009) [with A.~Bodin and S.~Najib] .pdf
``Irreducibility of hypersurfaces'', Comm. in Alg. 37/6, (2009) [with A. Bodin and S. Najib] .pdf
``Abelian obstructions in inverse Galois theory'', Manuscripta Mathematica, 128/3, (2009) [with A. Cadoret] .pdf
``Bounds for Hilbert's Irreducibility Theorem'', Pure and Applied Mathematics Quarterly, 4/4 (special issue in honor of Jean-Pierre Serre, part 1 of 2), (2008) [with Y. Walkowiak] .pdf
``Groupes de Galois arithmétiques et différentiels'', Proceedings of the 2004 Luminy meeting, March 8-13, Séminaires et Congrès, 13, SMF, (2006) [co-editor with D. Bertrand]
``An introduction to the modular tower program'', in Groupes de Galois arithmétiques et différentiels, Séminaires et Congrès, 13, SMF, (2006) .pdf
``Harbater-Mumford Components and Towers of Moduli Spaces'', J. Math. Inst. Jussieu, 5/03, (2006), [with M. Emsalem] .pdf
``Corps psi-libres et théorie inverse de Galois infinie'', J. fur die reine und angew. Math., 574, (2004) [with B. Deschamps] .pdf
``Descent varieties for algebraic covers'', J. fur die reine und angew. Math., 574, (2004) [with J-C. Douai and L. Moret-Bailly] .pdf
``Finiteness results in descent theory'', J. London Math. Soc., 68, (2003) [with G. Derome] .pdf
``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, 70, ed. by M. Fried and Y. Ihara, (2002) .pdf
``Revêtements topologiques'', annexe du volume Arithmétique des revêtements algébriques, Séminaires et Congrès, 5, SMF, (2001) .pdf
``Méthodes topologiques et analytiques en théorie inverse de Galois -- Théorème d'existence de Riemann'', Séminaires et Congrès, 5, SMF, (2001) .pdf
``Théorie inverse de Galois et géométrie - une introduction'', Séminaires et Congrès, 5, SMF, (2001) .pdf
`Familles de Hurwitz et cohomologie non-abélienne'', Ann. Inst. Fourier, 50/1, (2000) [with J-C. Douai and M. Emsalem] .pdf
``Regular realization of abelian groups with controlled ramification'', in Applications of Curves over Finite Fields, Contemporary Math., 245, M. D. Fried ed., (1999) .pdf
``Galois covers with prescribed fibers: the Beckmann-Black problem'', Ann. Scuola Norm. Sup. Pisa, Cl. Sci., 4, (1999) .pdf
``Integral specialization of families of rational functions'', Pacific J. Math, 190/1, (1999) [with M. Fried] .pdf
``Some arithmetic properties of algebraic covers'', in Aspects of Galois Theory, London Math. Soc. LectureNote Series, 256, H. Voelklein, P. Mueller, D. Harbater and J. G. Thompson ed., Cambridge University Press, (1999) .pdf
``Arithmétique et espaces de modules de revêtements'', in Number Theory in Progress, (K. Gyory, H. Iwaniec and J. Urbanowicz ed.), Walter de Gruyter, (1999) .pdf
``Almost hilbertian fields'', Acta Arithmetica, 88/3, (1999) [with D. Haran] .pdf
``Density results for Hilbert subsets'', Indian J. Pure and Applied Math., 30/1, (1999) .pdf
``Gerbes and covers'', Comm. in Algebra, 27/2, (1999) [with J-C. Douai] .pdf
``On fields of moduli of curves'', J. Algebra, 211, (1999) [with M. Emsalem] .pdf
``Fields of definition of p-adic covers'', J. fur die reine und angew. Math., 498, (1998), [with D. Harbater] .pdf
``Universal Hilbert subsets'', Math. Proc. Cambridge Phi. Soc., 124, (1998) [with U. Zannier] .pdf
``Local-global principles for algebraic covers'', Israel J. Math., 103, (1998) [with J-C. Douai] .pdf
``Hilbert's irreducibility theorem and G-functions'', Math. Annalen, 309/3, (1997) [with U. Zannier] .pdf
``The Inverse Galois problem over large fields'', in Geometric Galois Action / 2, London Math. Soc. Lecture Note Series, 243, Cambridge University Press, (1997) [with B. Deschamps] .pdf
``Algebraic covers: field of moduli versus field of definition'', Annales Sci. E.N.S., 30, (1997) [with J-C. Douai] .pdf
``Hilbert subsets and s-integral points'', Manuscripta Mathematica, 89, (1996) .pdf
Compte rendu sur le livre Topics in Galois Theory de J.P.-Serre, Gazette des mathématiciens, 66, SMF, (1995), [traduction d'une ``Book review'' de M. Fried, Bull. A.M.S. 30, (1994)] .pdf
``On a problem of Dvornicich and Zannier'', Acta Arithmetica, 73/4, (1995) .pdf
``Covers of P1 over the p-adics'', in Recent developments in the Inverse Galois Problem, Contemporary Math., 186, M. D. Fried ed., (1995) .pdf
``Non rigid situations in constructive Galois Theory'', Pacific J. Math., 163/1, (1994) [with M. Fried] .pdf
``Critères de descente pour le corps de définition des G-revêtements de P1'', C.R. Acad. Sc. Paris, Serie I, 315, (1992) .pdf
``On the irreducibility of the polynomials P(t^m,Y), J. Number Theory, 42, (1992)
``Etude arithmétique des revêtements de P1'', mémoire HDR, Publications Univ. Paris 10 et Publications Univ. Paris 6 (``Problèmes diophantiens'') , (1991)
``Groupes de Galois sur K(T)'', Sém. Th. Nombres de Bordeaux, 2, (1990) .pdf
``Rigidity and real residue class fields'', Acta Arithmetica, 56/4, (1990) [with M. Fried] .pdf
``Arithmetic variation of fibers in algebraic families of curves'', J. fur die reine und angew. Math., 409, (1990) [with M. Fried] .pdf
``Résultats récents liés au Théorème d'irreductibilité de Hilbert'', Sem. Th. Nombres Paris 85/86, 27, (1987)
``Parties hilbertiennes et progressions géométriques'', C.R. Acad. Sc. Paris, Serie I, 302/3, (1986)
``G-fonctions et Théorème d'irréductibilité de Hilbert''', Acta Arithmetica, 47/4, (1986) .pdf
``Quelques remarques sur un article de Bombieri concernant le Théorème de Décomposition de Weil'', Amer. J. Math., 107, (1985) .pdf
``Valeurs algébriques de fonctions algébriques et Théorème d'irréductibilité de Hilbert'', thèse de doctorat, Publications Univ. Paris 6, (1984) .pdf
`Spécialisations de polynômes'', Math. Rep. Acad. Sci., Royal Soc. Canada, V/6, (1983)
```Une version effective du Théorème d'irréductibilité de Hilbert'', Sem. Anal. Ultramétrique Amice-Christol-Robba, 10, (1982/83) .pdf