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arXiv · 2608.21260

Mukai bundles and Brill-Noether generality for prime Fano threefolds in positive characteristic

Hiromu Tanaka
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Abstract

Let $X$ be a prime Fano threefold of genus $g\geq 8$ in positive characteristic. For every nontrivial decomposition $g =rs$, we prove that there exists a unique Mukai bundle on $X$ of type $(r, s)$. To this end, we show that every smooth hyperplane section of $X$ is Brill-Noether general.

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Hiromu Tanaka. 2026-08-21. Mukai bundles and Brill-Noether generality for prime Fano threefolds in positive characteristic. https://arxiv.org/abs/2608.21260

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