English

On the Toda systems of VHS type

Analysis of PDEs 2013-03-29 v3 Algebraic Geometry Differential Geometry

Abstract

We consider the Toda systems of VHS type with singular sources and provide a criterion for the existence of solutions with prescribed asymptotic behaviour near singularities. We also prove the uniqueness of solution. Our approach uses Simpson's theory of constructing Higgs-Hermitian-Yang-Mills metrics from stability.

Keywords

Cite

@article{arxiv.1302.1287,
  title  = {On the Toda systems of VHS type},
  author = {Chen-Yu Chi},
  journal= {arXiv preprint arXiv:1302.1287},
  year   = {2013}
}