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arXiv · 1912.07231

Frobenius split anticanonical divisors

Sándor J Kovács
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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.

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Sándor J Kovács. 2019-12-16. Frobenius split anticanonical divisors. https://arxiv.org/abs/1912.07231

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