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arXiv · 2511.20288

Exterior power of stable vector bundle destabilized by Frobenius pull-back

Yongming Zhang
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Abstract

In this paper, we prove that for any smooth projective curve $C$ of genus $g\geq2$ over an algebraically closed field of positive characteristic, there exists a stable vector bundle over $C$ whose exterior power is not semi-stable.

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Yongming Zhang. 2025-11-25. Exterior power of stable vector bundle destabilized by Frobenius pull-back. https://arxiv.org/abs/2511.20288

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