Harder-Narasimhan 滤过的 GIT 解释
代数几何
2015-07-03 v4
摘要
光滑射影簇上的不稳定无挠层在特定 Quot 概形中给出一个 GIT 不稳定点。对于 GIT 不稳定点，Kempf 关联了一个“最大失稳”1-参数子群，这诱导了该无挠层的一个滤过。我们证明此滤过与 Harder-Narasimhan 滤过一致。
引用
@article{arxiv.1112.1886,
title = {A GIT interpretration of the Harder-Narasimhan filtration},
author = {Tomas L. Gomez and Ignacio Sols and Alfonso Zamora},
journal= {arXiv preprint arXiv:1112.1886},
year = {2015}
}
备注
19 pages; Comments of the referees and references added. The construction for holomorphic pairs (Sections 6 and 7 from previous version) will appear in a further publication. To appear in Rev. Mat Complutense