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 when all the singular strengths are integral multiples of n+1, where n is the number of equations in the system. We also prove the uniqueness of solution for general assignments of singular strengths. Our approach uses Simpson's theory of constructing Higgs-Hermitian-Yang-Mills metrics from stability.
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