Algebraic Tangent Cones of Reflexive Sheaves-Reference-Cited by-同舟云学术

Algebraic Tangent Cones of Reflexive Sheaves

Published:2018-12-06 Issue:24 Volume:2020 Page:10042-10063
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Chen Xuemiao¹,Sun Song¹²

Affiliation:

1. Stony Brook University, Mathematics, USA

2. University of California, Berkeley, Mathematics

Abstract

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.

Funder

Simons Collaboration

Alfred P. Sloan fellowship

National Science Foundation

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

http://academic.oup.com/imrn/article-pdf/2020/24/10042/34948926/rny276.pdf

Reference7 articles.

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2. Analytic tangent cones of admissible Hermitian–Yang–Mills connections;Chen,2018

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