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Hodge Cycles on Abelian Varieties

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Hodge Cycles, Motives, and Shimura Varieties

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

Abstract

The main result proved in these notes is that any Hodge cycle on an abelian variety (in characteristic zero) is an absolute Hodge cycle — see §2 for definitions and (2.11) for a precise statement of the result.

Notes by J.S. Milne

An erratum to this chapter is available at http://dx.doi.org/10.1007/978-3-540-38955-2_12

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  1. P. Deligne
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© 1982 Springer-Verlag Berlin Heidelberg

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Deligne, P. (1982). Hodge Cycles on Abelian Varieties. 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_3

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  • DOI: https://doi.org/10.1007/978-3-540-38955-2_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11174-0

  • Online ISBN: 978-3-540-38955-2

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