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arXiv · 1704.07076

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

Jiayu Li·Chuanjing Zhang·Xi Zhang
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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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Jiayu Li, Chuanjing Zhang, Xi Zhang. 2017-04-24. The limit of the Hermitian-Yang-Mills flow on reflexive sheaves. https://arxiv.org/abs/1704.07076

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