Hodge cycles, motives, and Shimura varieties
著者
書誌事項
Hodge cycles, motives, and Shimura varieties
（Lecture notes in mathematics, 900）
Springer-Verlag, 1982
- : Berlin
- : New York
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: Berlin410.8//L49//748615100160215,15100160223,00013663562,15100174851,15100174869
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注記
English and French
Includes bibliographies
収録内容
- 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
内容説明・目次
内容説明
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 (Unpublished manuscript, October 1979).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.
目次
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.
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