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arXiv · 2308.08121

Fano threefolds in positive characteristic I

Hiromu Tanaka
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Abstract

Over an algebraically closed field of positive characteristic, we classify smooth Fano threefolds of Picard number one whose anti-canonical linear systems are not very ample. Furthermore, we also prove that an anti-canonically embedded Fano threefold of genus at least five is an intersection of quadrics.

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Hiromu Tanaka. 2023-08-16. Fano threefolds in positive characteristic I. https://arxiv.org/abs/2308.08121

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