Hyperkahler Manifolds Hyperholomorphic Sheaves And New Examples Of Hyperk Hler Manifolds

Hyperkahler Manifolds: Hyperholomorphic sheaves and new examples of hyperkähler manifolds

This volume introduces hyperkahler manifolds to those who have not previously studied them. The book is divided into two parts on: hyperholomorphic sheaves and examples of hyperkahler manifolds; and hyperkahler structures on total spaces of holomorphic cotangent bundles.

Hodge Cycles, Motives, and Shimura Varieties

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 (Unpublished manuscript, October 1979).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.

Hyperholomorphic Sheaves and New Examples of Hyperkähler Manifolds