Lecture Notes in Mathematics

Hodge Cycles, Motives, and Shimura Varieties

Authors: Deligne, P., Milne, J.S., Ogus, A., Shih, K.-y.

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About this book

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 (Unpublished manuscript, October 1979).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 (17 chapter)

  • General Introduction

    Pages 1-7

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  • Notations and Conventions

    Pages 8-8

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  • Hodge Cycles on Abelian Varieties

    Deligne, P.

    Pages 9-100

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  • Tannakian Categories

    Deligne, P. (et al.)

    Pages 101-228

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  • Langlands’s Construction of the Taniyama Group

    Milne, J. S. (et al.)

    Pages 229-260

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Buy this book

eBook $69.99 net
( price for USA )
  • ISBN 978-3-540-38955-2
  • digitally watermarked, no DRM
  • included format: PDF
  • eBooks can be used on all Reading Devices
Softcover $99.00 net
( price for USA )
  • ISBN 978-3-540-11174-0
  • free shipping for individuals worldwide
  • usually dispatched within 3 to 5 business days

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Bibliographic Information

Bibliographic Information
Book Title
Hodge Cycles, Motives, and Shimura Varieties
Series Title
Lecture Notes in Mathematics
Series Volume
900
Copyright
1982
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-38955-2
DOI
10.1007/978-3-540-38955-2
Softcover ISBN
978-3-540-11174-0
Series ISSN
0075-8434
Edition Number
1
Topics