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arxiv: 1806.11247 · v2 · pith:AASBW7JGnew · submitted 2018-06-29 · 🧮 math.DG

Analytic tangent cones of admissible Hermitian-Yang-Mills connections

classification 🧮 math.DG
keywords admissibleanalyticconesconnectionshermitian-yang-millstangentalgebro-geometricbubbling
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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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