Fano threefolds in positive characteristic I
Algebraic Geometry
2026-03-13 v3
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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Cite
@article{arxiv.2308.08121,
title = {Fano threefolds in positive characteristic I},
author = {Hiromu Tanaka},
journal= {arXiv preprint arXiv:2308.08121},
year = {2026}
}
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64 pages