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 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
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
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
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 hypergeometriclike functions, that is, twists of hypergeometric functions in nvariables. 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 hypergeometriclike functions by their exponents at the divisors "at infinity" permits one to prove generalizations in nvariables of the Kummer identities for n1 involving quadratic and cubic changes of the variable
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 hypergeometriclike functions, that is, twists of hypergeometric functions in nvariables. 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 hypergeometriclike functions by their exponents at the divisors "at infinity" permits one to prove generalizations in nvariables of the Kummer identities for n1 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
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
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
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 17August
3, 1972 by
Pierre Deligne(
)
2 editions published in 1973 in English and held by 30 WorldCat member libraries worldwide
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
14 editions published between 1972 and 1975 in 3 languages and held by 28 WorldCat member libraries worldwide
Monodromy of hypergeometric functions and nonlattice integral monodromy by
Pierre Deligne(
Book
)
5 editions published between 1983 and 1986 in English and held by 20 WorldCat member libraries worldwide
5 editions published between 1983 and 1986 in English and held by 20 WorldCat member libraries worldwide
Group extensions of padic 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
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 19671969 ; SGA 7](
Book
)
1 edition published in 1972 in French and held by 13 WorldCat member libraries worldwide
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 BenZvi 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
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
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
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
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
1 edition published in 1971 in French and held by 8 WorldCat member libraries worldwide
Generic oneparameter families of vector fields on twodimensional 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
3 editions published between 1973 and 1974 in English and held by 7 WorldCat member libraries worldwide
Modular functions of one variable, IIV: proceedings, International Summer School, University of Antwerp, RUCA, July 17August
3, 1972 by
International Summer School on Modular Functions(
Book
)
in English and held by 6 WorldCat member libraries worldwide
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 214, 1976 by
JeanPierre Serre(
Book
)
8 editions published between 1973 and 1986 in 3 languages and held by 5 WorldCat member libraries worldwide
8 editions published between 1973 and 1986 in 3 languages and held by 5 WorldCat member libraries worldwide
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Audience Level
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Related Identities
 Mostow, George D. Contributor Editor
 Kuyk, Willem Author Editor
 Serre, JeanPierre 1926 Interviewee Editor
 Katz, N. Other Director Editor
 Birch, B. J. (Bryan John) Editor
 Malgrange, B. (Bernard)
 Ramis, J.P (JeanPierre)
 Milne, James S.
 Ogus, Arthur
 Shih, Kuangyen Author
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Associated Subjects
Abelian groups Abelian varieties Algebra Algebraic number theory Algebraic varieties Algebras, Linear Asymptotes Automorphisms Belgium Bourgain, Jean, C*algebras Calculus of residues Catastrophes (Mathematics) Categories (Mathematics) Cobordism theory Connections (Mathematics) Convolutions (Mathematics) Daubechies, Ingrid Differential equations Differential equations, Linear Finite groups Foliations (Mathematics) Functions Functions, Zeta Functions of complex variables Functor theory Geometry, Algebraic Geometry, Analytic Germs (Mathematics) Global analysis (Mathematics) Group theory Homology theory Hypergeometric functions Ktheory Lattice theory Linear algebraic groups Manifolds (Mathematics) Mathematicians Mathematics Metric spaces Modular functions Monodromy groups Number theory Singularities (Mathematics) Spectral theory (Mathematics) Topology Vector analysis Vector fields
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
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