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

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 elementa...

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Bibliographic Details
Main Author: Borbon Martin de
Format: Article
Language:English
Published: De Gruyter 2017-02-01
Series:Complex Manifolds
Subjects:
Online Access:https://doi.org/10.1515/coma-2017-0005