Higgs丛模空间上的分层
代数几何
2018-09-05 v4
摘要
Higgs丛的模空间有两种分层。Bialynicki-Birula分层源于非零复数通过乘作用于Higgs场，而Shatz分层源于Higgs丛底层向量丛的Harder-Narasimhan型。尽管这两种分层在秩为2的Higgs丛情形下重合，但在更高秩时并非如此。本文分析了秩为3的Higgs丛模空间上这两种分层之间的关系。
引用
@article{arxiv.1511.03985,
title = {Stratifications on the Moduli Space of Higgs Bundles},
author = {Peter B. Gothen and Ronald A. Zúñiga-Rojas},
journal= {arXiv preprint arXiv:1511.03985},
year = {2018}
}
备注
18 pages; v2: extended results to the non-coprime case, other minor corrections, updated references; v3, v4: corrected typos; to appear in Portugaliae Mathematica