关于秩2 Higgs丛的一个猜想及若干不等式
代数几何
2024-12-31 v3
摘要
我们简要回顾一个关于在任意曲线上拉回后半稳定的Higgs丛的开放猜想，并在秩2情形证明该猜想。我们还证明了一组对H-nef Higgs丛成立的不等式，其推广了Fulton-Lazarsfeld关于数值有效向量丛的若干不等式。
引用
@article{arxiv.2208.10554,
title = {On a conjecture about Higgs bundles for rank 2 and some inequalities},
author = {Ugo Bruzzo and Beatriz Graña Otero and Daniel Hernández Ruipérez},
journal= {arXiv preprint arXiv:2208.10554},
year = {2024}
}
备注
13 pages. v2: 14 pages. Some results have been strengthened and the exposition has been reorganized. v3: minor changes, final version to appear in Mediterranean J. Math