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arXiv · 1808.02172

Algebraic tangent cones of reflexive sheaves

Xuemiao Chen·Song Sun
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Abstract

We study the notion of algebraic tangent cones at singularities of reflexive sheaves. These correspond to extensions of reflexive sheaves across a negative divisor. We show the existence of optimal extensions in a constructive manner, and we prove the uniqueness in a suitable sense. The results here are an algebro-geometric counterpart of our previous study on singularities of Hermitian-Yang-Mills connections.

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Xuemiao Chen, Song Sun. 2018-08-07. Algebraic tangent cones of reflexive sheaves. https://doi.org/10.1093/imrn%2Frny276

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