The limit of the Hermitian-Yang-Mills flow on reflexive sheaves

Published 24 Apr 2017 in math.DG | (1704.07076v1)

Abstract: In this paper, we study the asymptotic behavior of the Hermitian-Yang-Mills flow on a reflexive sheaf. We prove that the limiting reflexive sheaf is isomorphic to the double dual of the graded sheaf associated to the Harder-Narasimhan-Seshadri filtration, this answers a question by Bando and Siu.

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