English

Analytic tangent cones of admissible Hermitian-Yang-Mills connections

Differential Geometry 2021-12-01 v2

Abstract

In this paper we study the analytic tangent cones of admissible Hermitian-Yang-Mills connections near a homogeneous singularity of a reflexive sheaf, and relate it to the Harder-Narasimhan-Seshadri filtration. We also give an algebro-geometric characterization of the bubbling set. This strengthens our previous result.

Keywords

Cite

@article{arxiv.1806.11247,
  title  = {Analytic tangent cones of admissible Hermitian-Yang-Mills connections},
  author = {Xuemiao Chen and Song Sun},
  journal= {arXiv preprint arXiv:1806.11247},
  year   = {2021}
}

Comments

We improved the exposition of the paper based on the referees' suggestions