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arXiv · 1806.11247

Analytic tangent cones of admissible Hermitian-Yang-Mills connections

Xuemiao Chen·Song Sun
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Abstract

In this paper 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 algebro-geometric characterization of the bubbling set. This strengthens our previous result.

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Xuemiao Chen, Song Sun. 2020-06-17. Analytic tangent cones of admissible Hermitian-Yang-Mills connections. https://doi.org/10.2140/gt.2021.25.2061

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