scholarly journals Reflexive sheaves, Hermitian–Yang–Mills connections, and tangent cones

Author(s):  
Xuemiao Chen ◽  
Song Sun
Keyword(s):  
2018 ◽  
Vol 2020 (24) ◽  
pp. 10042-10063 ◽  
Author(s):  
Xuemiao Chen ◽  
Song Sun

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.


2018 ◽  
Vol 25 (5) ◽  
pp. 1429-1445 ◽  
Author(s):  
Adam Jacob ◽  
Henrique Sá Earp ◽  
Thomas Walpuski

2021 ◽  
Vol 25 (4) ◽  
pp. 2061-2108
Author(s):  
Xuemiao Chen ◽  
Song Sun
Keyword(s):  

1982 ◽  
Vol 43 (C3) ◽  
pp. C3-326-C3-327
Author(s):  
K. S. Stelle
Keyword(s):  

1992 ◽  
Vol 162 (2) ◽  
pp. 161 ◽  
Author(s):  
B.P. Kosyakov
Keyword(s):  

2019 ◽  
Vol 306 (1) ◽  
pp. 157-177 ◽  
Author(s):  
N. G. Marchuk
Keyword(s):  

Author(s):  
Laurent Baulieu ◽  
John Iliopoulos ◽  
Roland Sénéor

A geometrical derivation of Abelian and non- Abelian gauge theories. The Faddeev–Popov quantisation. BRST invariance and ghost fields. General discussion of BRST symmetry. Application to Yang–Mills theories and general relativity. A brief history of gauge theories.


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