Notes on absolute Hodge classes

Details Notes on absolute Hodge classes Notes on absolute Hodge classes

2011-01-19

arxiv.org/abs/1101.3647v1

Mathematics

Algebraic Geometry

50 pages. This text is an expanded version of lectures given at the ICTP summer school on Hodge theory and related topics in T

Scientific paper

We survey the theory of absolute Hodge classes. The notes include a full
proof of Deligne's theorem on absolute Hodge classes on abelian varieties as
well as a discussion of other topics, such as the field of definition of Hodge
loci and the Kuga-Satake construction.

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