Tangent cones of Hermitian Yang-Mills connections with isolated singularities

Abstract

We give a simple direct proof of uniqueness of tangent cones for singular projectively Hermitian Yang-Mills connections on reflexive sheaves at isolated singularities modelled on $\mu$-polystable holomorphic bundles over ${\mathbf{P}}^{n-1}$.

v2 sharpens the result proved in this note

Cited by in corpus (3)

• Reflexive sheaves, Hermitian-Yang-Mills connections, and tangent cones
• Singularities of Hermitian-Yang-Mills connections and Harder-Narasimhan-Seshadri filtrations
• Hecke modifications of Higgs bundles and the extended Bogomolny equation