Special lifts of ordinary K3 surfaces and applications
Algebraic Geometry
2007-05-23 v1
Abstract
We study the cohomological properties of quasi-canonical lifts of an ordinary K3 surface over a finite field. As applications, we prove a Torelli type theorem for ordinary K3 surfaces over finite fields and establish the Hodge conjecture for arbitrary self products of certain K3 surfaces over the complex numbers.
Keywords
Cite
@article{arxiv.math/0611481,
title = {Special lifts of ordinary K3 surfaces and applications},
author = {Jeng-Daw Yu},
journal= {arXiv preprint arXiv:math/0611481},
year = {2007}
}
Comments
18 pages