Polarizations and Grothendieck's Standard Conjectures
Algebraic Geometry
2007-05-23 v3 Number Theory
Abstract
We prove that Grothendieck's Hodge standard conjecture holds for abelian varieties in arbitrary characteristic if the Hodge conjecture holds for complex abelian varieties of CM-type. For abelian varieties with no exotic algebraic classes, we prove the Hodge standard conjecture unconditionally.
Cite
@article{arxiv.math/0103175,
title = {Polarizations and Grothendieck's Standard Conjectures},
author = {J. S. Milne},
journal= {arXiv preprint arXiv:math/0103175},
year = {2007}
}
Comments
12 pages published version