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Hodge Cycles Motives and Shimura Varieties 1ST Edition by Pierre Deligne, James Milne, Ogus Kuang Shih ISBN 3540111743 9783540111740

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ISBN 10:   3540111743
ISBN 13: 978-3540111740
Author:   Pierre Deligne, James S. Milne, Ogus Kuang-yen Shih

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 (Unpublished manuscript, October 1979).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.
 

Hodge Cycles, Motives, and Shimura Varieties 1ST table of contents:

– 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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