关于VHS型Toda系统

摘要：

本文考虑了具有奇异源的VHS型Toda系统，给出了在奇点附近具有规定渐近行为的解的存在性判据。我们还证明了解的唯一性。我们的方法使用辛普森的理论构造Higgs-Hermitian-Yang-Mills度规的稳定性。

英文摘要：

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.

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