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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 900))

Abstract

Let X be a smooth projective variety over ℂ. Hodge conjectured that certain cohomology classes on X are algebraic. The work of Deligne that is described in the first article of this volume shows that, when X is an abelian variety, the classes considered by Hodge have many of the properties of algebraic classes.

An erratum to this chapter is available at http://dx.doi.org/10.1007/978-3-540-38955-2_10

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References

  1. Langlands, R., Some contemporary problems with origins in the Jugendtraum. Proc. Symp. Pure Math., A.M.S. 28 (1976) 401–418.

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© 1982 Springer-Verlag Berlin Heidelberg

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Deligne, P., Milne, J.S., Ogus, A., Shih, Ky. (1982). General Introduction. In: Hodge Cycles, Motives, and Shimura Varieties. Lecture Notes in Mathematics, vol 900. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-38955-2_1

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  • DOI: https://doi.org/10.1007/978-3-540-38955-2_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11174-0

  • Online ISBN: 978-3-540-38955-2

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