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Analytic tangent cones of
admissible Hermitian Yang–Mills connections
Xuemiao Chen and Song Sun |
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Geometry & Topology 25 (2021) 2061–2108
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Abstract |
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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. |
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Keywords
Hermitian Yang–Mills, tangent cone, reflexive sheaf
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Mathematical Subject Classification 2010
Primary: 53C07
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References |
Publication
Received: 19 December 2019
Accepted: 13 June 2020
Published: 12 July 2021
Proposed: Simon Donaldson
Seconded: Bruce Kleiner, Tobias H Colding
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Authors |
| Xuemiao Chen | |
| Department of Mathematics University of Maryland College Park, MD United States |
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| Song Sun | |
| Department of Mathematics University of California, Berkeley Berkeley, CA United States |
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