Hodge cycles, motives, and Shimura varieties

Author(s)

• Deligne, Pierre

Bibliographic Information

Hodge cycles, motives, and Shimura varieties

Pierre Deligne ... [et al.]

（Lecture notes in mathematics, 900）

Springer-Verlag, 1982

• : Berlin
• : New York

Note

English and French

Includes bibliographies

Contents of Works

• Hodge cycles on abelian varieties / P. Deligne
• Tannakian categories / P. Deligne, J. Milne
• Langlands's construction of the Taniyama group / J. Milne, K.-y. Shih
• Motifs et groupe de Taniyama / P. Deligne
• Conjugates of Shimura varieties / J. Milne and K.-y. Shih
• Hodge cycles and crystalline cohomology / A. Ogus

Description and Table of Contents

Description

This volume collects six related articles. The first is the notes (written by J.S. Milne) of a major part of the seminar "Periodes des Int~grales Abeliennes" given by P. Deligne at I'.B.E.S., 1978-79. The second article was written for this volume (by P. Deligne and J.S. Milne) and is largely based on: N Saavedra Rivano, Categories tannakiennes, Lecture Notes in Math. 265, Springer, Heidelberg 1972. The third article is a slight expansion of part of: J.S. Milne and Kuang-yen Shih, Sh~ura varieties: conjugates and the action of complex conjugation 154 pp. (Unpublished manuscript, October 1979). The fourth article is based on a letter from P. De1igne to R. Langlands, dated 10th April, 1979, and was revised and completed (by De1igne) in July, 1981. The fifth article is a slight revision of another section of the manuscript of Milne and Shih referred to above. The sixth article, by A. Ogus, dates from July, 1980.

Table of Contents

General Introduction.- Notations and Conventions.- Hodge Cycles on Abelian Varieties.- Tannakian Categories.- Langlands's Construction of the Taniyama Group.- Motifs et Groupes de Taniyama.- Conjugates of Shimura Varieties.- Hodge Cycles and Crystalline Cohomology.- Addendum 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.- Conjugates of Shimura Varieties.- Hodge Cycles and Crystalline Cohomology.

by "Nielsen BookData"

Details

• NCID: BA04001880
• ISBN:
  • 3540111743
  • 0387111743
• LCCN: 82132343
• Country Code: gw
• Title Language Code: eng
• Text Language Code: engfre
• Place of Publication: Berlin ; New York
• Pages/Volumes: 414 p.
• Size: 25 cm
• Classification:
  • LCC : QA3
  • LCC : QA564
  • DC19 : 510 s
  • DC19 : 512/.33
• Subject Headings:
  • LCSH : Abelian varieties
  • LCSH : Categories (Mathematics)
  • LCSH : Groups, Theory of
  • LCSH : Homology theory
• Parent Bibliography ID:
  • BA00146586