The limit of the Hermitian-Yang-Mills flow on reflexive sheaves
Differential Geometry
2017-04-25 v1
Abstract
In this paper, we study the asymptotic behavior of the Hermitian-Yang-Mills flow on a reflexive sheaf. We prove that the limiting reflexive sheaf is isomorphic to the double dual of the graded sheaf associated to the Harder-Narasimhan-Seshadri filtration, this answers a question by Bando and Siu.
Keywords
Cite
@article{arxiv.1704.07076,
title = {The limit of the Hermitian-Yang-Mills flow on reflexive sheaves},
author = {Jiayu Li and Chuanjing Zhang and Xi Zhang},
journal= {arXiv preprint arXiv:1704.07076},
year = {2017}
}