On the Toda systems of VHS type
classification
🧮 math.AP
math.AGmath.DG
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systemstodatypeapproachasymptoticbehaviourconsiderconstructing
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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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