关于曲线上束的模空间的Frobenius诱导态射
代数几何
2025-12-11 v2
摘要
我们证明了一般半稳定向量束在固定秩数和次数的向量束模空间上的Frobenius拉回仍为半稳定。随后我们给出本定理的若干应用。
关键词
引用
@article{arxiv.2509.00444,
title = {Frobenius induced morphisms on moduli of sheaves on curves},
author = {Jin Cao and Xiaoyu Su},
journal= {arXiv preprint arXiv:2509.00444},
year = {2025}
}
备注
In the first version of this work, we mistakenly claimed that there are only finitely many isomorphism classes of bundles whose Frobenius pullback yields an isomorphic bundle. The editor kindly pointed out counterexamples to this statement such as in Pauly07, Proposition 4.1, Pauly provided an explicit example of such a family