Effective Matsusaka's Theorem for surfaces in characteristic p
Algebraic Geometry
2016-01-20 v2
Abstract
We obtain an effective version of Matsusaka's theorem for arbitrary smooth algebraic surfaces in positive characteristic, which provides an effective bound on the multiple which makes an ample line bundle D very ample. The proof for pathological surfaces is based on a Reider-type theorem. As a consequence, a Kawamata-Viehweg-type vanishing theorem is proved for arbitrary smooth algebraic surfaces in positive characteristic.
Cite
@article{arxiv.1501.07299,
title = {Effective Matsusaka's Theorem for surfaces in characteristic p},
author = {Gabriele Di Cerbo and Andrea Fanelli},
journal= {arXiv preprint arXiv:1501.07299},
year = {2016}
}
Comments
19 pages. Fixed some typos. To appear in Algebra and Number Theory