Hodge structures of type (n,0,...,0,n)
Algebraic Geometry
2014-02-18 v1
Abstract
This paper determines all the possible endomorphism algebras for polarizable Q-Hodge structures of type (n,0,...,0,n). This generalizes the classification of the possible endomorphism algebras of abelian varieties by Albert and Shimura. As with abelian varieties, the most interesting feature of the classification is that in certain cases, every Hodge structure on which a given algebra acts must have extra endomorphisms.
Cite
@article{arxiv.1402.3666,
title = {Hodge structures of type (n,0,...,0,n)},
author = {Burt Totaro},
journal= {arXiv preprint arXiv:1402.3666},
year = {2014}
}
Comments
19 pages