Notes on absolute Hodge classes
Algebraic Geometry
2011-01-20 v1 Number Theory
Abstract
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.
Keywords
Cite
@article{arxiv.1101.3647,
title = {Notes on absolute Hodge classes},
author = {François Charles and Christian Schnell},
journal= {arXiv preprint arXiv:1101.3647},
year = {2011}
}
Comments
50 pages. This text is an expanded version of lectures given at the ICTP summer school on Hodge theory and related topics in Trieste in June 2010