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The irreducibility of the space of curves of given genus
- P. Deligné, D. Mumford
- Mathematics
- 1969
© Publications mathematiques de l’I.H.E.S., 1969, tous droits reserves. L’acces aux archives de la revue « Publications mathematiques de l’I.H.E.S. » (http://www.…
Real homotopy theory of Kähler manifolds
- P. Deligné, P. Griffiths, J. Morgan, D. Sullivan
- Mathematics
- 1 October 1975
1. Homotopy Theory of Differential Algebras . . . . . . . . . . 248 2. De Rham Homotopy Theory . . . . . . . . . . . . . . . 254 3. Relation between De Rham Homotopy Theory and Classical Homotopy…
Compositio Mathematica
- P. Deligné, G. Pappas
- The Mathematical Gazette
- 1 May 1934
tion commerciale ou impression systématique est constitutive d'une infraction pénale. Toute copie ou impression de ce fichier doit conte-nir la présente mention de copyright. Article numérisé dans le…
Monodromy of hypergeometric functions and non-lattice integral monodromy
- P. Deligné, G. Mostow
- Mathematics
- 1 December 1986
© Publications mathématiques de l’I.H.É.S., 1986, tous droits réservés. L’accès aux archives de la revue « Publications mathématiques de l’I.H.É.S. » (http://…
Quantum Fields and Strings: A Course for Mathematicians
- P. Deligné
- Physics
- 20 July 1999
Ideas from quantum field theory and string theory have had considerable impact on mathematics over the past 20 years. Advances in many different areas have been inspired by insights from physics. In…
Values of abelianL-functions at negative integers over totally real fields
- P. Deligné, K. Ribet
- Mathematics
- 1 October 1980
Hodge Cycles, Motives, and Shimura Varieties
- P. Deligné, J. Milne, A. Ogus, K. Shih
- Mathematics
- 18 October 1989
General Introduction.- Notations and Conventions.- Hodge Cycles on Abelian Varieties.- Tannakian Categories.- Langlands's Construction of the Taniyama Group.- Motifs et Groupes de Taniyama.-…
Hodge Cycles on Abelian Varieties
- P. Deligné
- Mathematics
- 1982
The main result proved in these notes is that any Hodge cycle on an abelian variety (in characteristic zero) is an absolute Hodge cycle — see §2 for definitions and (2.11) for a precise statement of…
Representations of reductive groups over finite fields
- P. Deligné, G. Lusztig
- Mathematics
- 4 March 2004
In this paper we construct a family of irreducible representations of a Chevalley group over a finite ring R of truncated power series over a field Fq . This is done by a cohomological method…
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