Exterior power of stable vector bundle destabilized by Frobenius pull-back
Algebraic Geometry
2025-11-26 v1
Abstract
In this paper, we prove that for any smooth projective curve of genus over an algebraically closed field of positive characteristic, there exists a stable vector bundle over whose exterior power is not semi-stable.
Keywords
Cite
@article{arxiv.2511.20288,
title = {Exterior power of stable vector bundle destabilized by Frobenius pull-back},
author = {Yongming Zhang},
journal= {arXiv preprint arXiv:2511.20288},
year = {2025}
}
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