Analytic tangent cones of admissible Hermitian-Yang-Mills connections

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.

arXiv commentWe improved the exposition of the paper based on the referees' suggestions

References in corpus (1)

• Singularities of Hermitian-Yang-Mills connections and Harder-Narasimhan-Seshadri filtrations

Cited by in corpus (5)

• Complex algebraic compactifications of the moduli space of Hermitian-Yang-Mills connections on a projective manifold
• Reflexive sheaves, Hermitian-Yang-Mills connections, and tangent cones
• Singularities of Hermitian-Yang-Mills connections and Harder-Narasimhan-Seshadri filtrations
• Bubbling phenomenon for Hermitian Yang-Mills connections
• The Unique Tangent Cone Property for Weakly Holomorphic Maps into Projective Algebraic Varieties