WorldCat Identities

Deligne, Pierre

Overview
Works: 85 works in 291 publications in 5 languages and 2,833 library holdings
Genres: Conference papers and proceedings 
Roles: Author, Editor, Opponent, Other, Contributor, Interviewee, Creator, Director
Classifications: QA3, 510.8 S
Publication Timeline
.
Most widely held works about Pierre Deligne
 
Most widely held works by Pierre Deligne
Hodge cycles, motives, and Shimura varieties by Pierre Deligne( Book )

31 editions published between 1981 and 2008 in 4 languages and held by 430 WorldCat member libraries worldwide

Équations différentielles à points singuliers réguliers by Pierre Deligne( Book )

25 editions published between 1970 and 2008 in 4 languages and held by 414 WorldCat member libraries worldwide

Cohomologie étale by Pierre Deligne( Book )

39 editions published between 1974 and 2009 in 4 languages and held by 387 WorldCat member libraries worldwide

Commensurabilities among lattices in PU (1,n) by Pierre Deligne( Book )

15 editions published between 1993 and 2016 in English and Undetermined and held by 346 WorldCat member libraries worldwide

The first part of this monograph is devoted to a characterization of hypergeometric-like functions, that is, twists of hypergeometric functions in n-variables. These are treated as an (n+1) dimensional vector space of multivalued locally holomorphic functions defined on the space of n+3 tuples of distinct points on the projective line P modulo, the diagonal section of Auto P=m. For n=1, the characterization may be regarded as a generalization of Riemann's classical theorem characterizing hypergeometric functions by their exponents at three singular points. This characterization permits the authors to compare monodromy groups corresponding to different parameters and to prove commensurability modulo inner automorphisms of PU(1,n). The book includes an investigation of elliptic and parabolic monodromy groups, as well as hyperbolic monodromy groups. The former play a role in the proof that a surprising number of lattices in PU(1,2) constructed as the fundamental groups of compact complex surfaces with constant holomorphic curvature are in fact conjugate to projective monodromy groups of hypergeometric functions. The characterization of hypergeometric-like functions by their exponents at the divisors "at infinity" permits one to prove generalizations in n-variables of the Kummer identities for n-1 involving quadratic and cubic changes of the variable
Groupes de monodromie en géométrie algébrique by Pierre Deligne( Book )

22 editions published between 1972 and 1973 in French and English and held by 101 WorldCat member libraries worldwide

Singularités irrégulières : correspondance et documents by Pierre Deligne( Book )

11 editions published between 2007 and 2008 in French and held by 99 WorldCat member libraries worldwide

Théorie de Hodge, II by Pierre Deligne( Book )

11 editions published between 1971 and 1972 in French and English and held by 34 WorldCat member libraries worldwide

Modular Functions of One Variable II : Proceedings International Summer School University of Antwerp, RUCA July 17-August 3, 1972 by Pierre Deligne( )

2 editions published in 1973 in English and held by 30 WorldCat member libraries worldwide

Théorie de Hodge : 3. Groups of simple algebras / by Moss E. Sweedler [u.a.] by Pierre Deligne( Book )

14 editions published between 1972 and 1975 in 3 languages and held by 28 WorldCat member libraries worldwide

Monodromy of hypergeometric functions and non-lattice integral monodromy by Pierre Deligne( Book )

5 editions published between 1983 and 1986 in English and held by 20 WorldCat member libraries worldwide

Group extensions of p-adic and adelic linear groups by C. C Moore( Book )

5 editions published in 1968 in English and Undetermined and held by 16 WorldCat member libraries worldwide

Groupes de monodromie en géometrie algébrique : [Séminaire de Géométrie Algébrique du Bois Marie 1967-1969 ; SGA 7]( Book )

1 edition published in 1972 in French and held by 13 WorldCat member libraries worldwide

Central extensions of reductive groups by K 2. Spectral curves, opers and integrable systems / by David Ben-Zvi and Edward Frenkel [u.a.] by J.-L Brylinski( Book )

5 editions published in 2001 in English and held by 13 WorldCat member libraries worldwide

Theorie de Hodge by Pierre Deligne( Book )

4 editions published between 1970 and 1972 in French and Undetermined and held by 13 WorldCat member libraries worldwide

The chameleon groups of Richard J. Thompson: automorphisms and dynamics by Matthew G Brin( Book )

3 editions published between 1996 and 1997 in English and French and held by 11 WorldCat member libraries worldwide

Publications mathematiques de l'ihes by Joseph Arthur( Book )

1 edition published in 1991 in French and held by 8 WorldCat member libraries worldwide

Sur les singularités des hypersurfaces complexes by Dũng Tráng Lê( Book )

1 edition published in 1971 in French and held by 8 WorldCat member libraries worldwide

Generic one-parameter families of vector fields on two-dimensional manifolds. Singularities of vector fields / by Floris Takens [u.a.] by Jorge Sotomayor( Book )

3 editions published between 1973 and 1974 in English and held by 7 WorldCat member libraries worldwide

Modular functions of one variable, I-IV: proceedings, International Summer School, University of Antwerp, RUCA, July 17-August 3, 1972 by International Summer School on Modular Functions( Book )

in English and held by 6 WorldCat member libraries worldwide

Modular functions of one variable V- : proceedings, international conference, University of Bonn, Sonderforschungsbereich Theoretische Mathematik, July 2-14, 1976 by Jean-Pierre Serre( Book )

8 editions published between 1973 and 1986 in 3 languages and held by 5 WorldCat member libraries worldwide

 
moreShow More Titles
fewerShow Fewer Titles
Audience Level
0
Audience Level
1
  Kids General Special  
Audience level: 0.70 (from 0.56 for Commensura ... to 0.94 for Sur les si ...)

Cohomologie étale
Alternative Names
Deligne, P.

Deligne, P. 1944-

Deligne, P. (Pierre)

Deligne, Pierre.

Deligne, Pierre R. 1944-

Pierre Deligne Belgisch wiskundige

Pierre Deligne belgischer Mathematiker

Pierre Deligne belgisk matematikar

Pierre Deligne belgisk matematiker

Pierre Deligne matematico belga

Pierre Deligne mathematician

Pierre Deligne mathématicien

Pierre René Deligne

Пиер Делин

Пьер Делинь математик

П'єр Рене Делінь

פייר דלין

بيار ديلين

پیر دلین ریاضی‌دان بلژیکی

پیری ڈلیگن

ဖြဲ ဒဲလိည

피에르 들리뉴

ピエール・ルネ・ドリーニュ

皮埃尔·德利涅

Languages
French (102)

English (88)

German (5)

Italian (1)

Dutch (1)

Covers
Équations différentielles à points singuliers réguliersCohomologie étaleCommensurabilities among lattices in PU (1,n)Singularités irrégulières : correspondance et documentsModular Functions of One Variable II : Proceedings International Summer School University of Antwerp, RUCA July 17-August 3, 1972Modular functions of one variable V- : proceedings, international conference, University of Bonn, Sonderforschungsbereich Theoretische Mathematik, July 2-14, 1976