A Survey of the Hodge Conjecture for Abelian Varieties

Abstract

We review what is known about the Hodge conjecture for abelian varieties, with some emphasis on how Mumford-Tate groups have been applied to this problem.

arXiv comment68 pages, AMSTeX. To appear as Appendix B in the upcoming second edition of "A Survey of the Hodge Conjecture" by James D. Lewis