Reduced Tangent Cones and Conductor at Multiplanar Isolated Singularities

2008 ◽  
Vol 36 (8) ◽  
pp. 2969-2978 ◽  
Author(s):  
Alessandro De Paris ◽  
Ferruccio Orecchia
Keyword(s):  
Tangent Cones ◽  
Isolated Singularities

scholarly journals Tangent cones of Hermitian Yang–Mills connections with isolated singularities

2018 ◽  
Vol 25 (5) ◽  
pp. 1429-1445 ◽  
Author(s):  
Adam Jacob ◽  
Henrique Sá Earp ◽  
Thomas Walpuski
Keyword(s):  
Tangent Cones ◽  
Isolated Singularities ◽  
Yang Mills

scholarly journals Corrigendum to “reduced tangent cones and conductor at multiplanar isolated singularities”

2019 ◽  
Vol 47 (12) ◽  
pp. 5440-5442
Author(s):  
Alessandro De Paris ◽  
Ferruccio Orecchia
Keyword(s):  
Tangent Cones ◽  
Isolated Singularities

scholarly journals Singularities of plane complex curves and limits of Kähler metrics with cone singularities. I: Tangent Cones

2017 ◽  
Vol 4 (1) ◽  
pp. 43-72 ◽  
Author(s):  
Martin de Borbon
Keyword(s):  
Vector Field ◽  
Einstein Metrics ◽  
Projective Line ◽  
Tangent Cones ◽  
Reeb Vector ◽  
Reeb Vector Field ◽  
Complex Curves ◽  
Complex Dimensions ◽  
Irregular Case ◽  
Kähler Einstein Metrics

Abstract The goal of this article is to provide a construction and classification, in the case of two complex dimensions, of the possible tangent cones at points of limit spaces of non-collapsed sequences of Kähler-Einstein metrics with cone singularities. The proofs and constructions are completely elementary, nevertheless they have an intrinsic beauty. In a few words; tangent cones correspond to spherical metrics with cone singularities in the projective line by means of the Kähler quotient construction with respect to the S1-action generated by the Reeb vector field, except in the irregular case ℂβ₁×ℂβ₂ with β₂/ β₁ ∉ Q.

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