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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 (Unpublished manuscript,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.
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