Frobenius split anticanonical divisors
Algebraic Geometry
2019-12-17 v1
Abstract
In this note I extend two theorems of Sommese regarding abelian varieties to arbitrary characteristic; that an abelian variety cannot be an ample divisor in a smooth projective variety and that a cone over an abelian variety of dimension at least two is not smoothable.
Keywords
Cite
@article{arxiv.1912.07231,
title = {Frobenius split anticanonical divisors},
author = {Sándor J Kovács},
journal= {arXiv preprint arXiv:1912.07231},
year = {2019}
}
Comments
to appear in "Integrable systems and algebraic geometry", vol.1-2 London Math Society Lecture Notes Series 458-459 (Cambridge University Press)