Contents Online
Mathematical Research Letters
Volume 27 (2020)
Number 1
On the Toda systems of VHS type
Pages: 19 – 34
DOI: https://dx.doi.org/10.4310/MRL.2020.v27.n1.a2
Author
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.
Received 11 April 2018
Accepted 6 January 2019
Published 8 April 2020