Analytic tangent cones of admissible Hermitian Yang–Mills connections

Chen, Xuemiao; Sun, Song

doi:10.2140/gt.2021.25.2061

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Analytic tangent cones of admissible Hermitian Yang–Mills connections

Xuemiao Chen and Song Sun

Geometry & Topology 25 (2021) 2061–2108

DOI: 10.2140/gt.2021.25.2061

Abstract

We study the analytic tangent cones of admissible Hermitian Yang–Mills connections near a homogeneous singularity of a reflexive sheaf, and relate it to the Harder–Narasimhan–Seshadri filtration. We also give an algebrogeometric characterization of the bubbling set.

Keywords

Hermitian Yang–Mills, tangent cone, reflexive sheaf

Mathematical Subject Classification 2010

Primary: 53C07

References

Publication

Received: 19 December 2019

Accepted: 13 June 2020

Published: 12 July 2021

Proposed: Simon Donaldson

Seconded: Bruce Kleiner, Tobias H Colding

Authors

Xuemiao Chen
Department of Mathematics University of Maryland College Park, MD United States

Song Sun
Department of Mathematics University of California, Berkeley Berkeley, CA United States

Volume 25, issue 4 (2021)