Local models for conical Kähler-Einstein metrics

In this note we construct, in the context of metrics with conical singularities along a divisor, regular Calabi-Yau cones and Kähler-Einstein metrics of negative Ricci with a cuspidal point. As an application, we describe singularities and cuspidal ends of the completions of the complex hyperbolic m...

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Bibliographic Details
Main Authors: Martin de Borbon, Cristiano Spotti
Format: Default Article
Published: 2019
Subjects:
Pure mathematics
General Mathematics
Online Access:https://hdl.handle.net/2134/24526447.v1
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Summary:In this note we construct, in the context of metrics with conical singularities along a divisor, regular Calabi-Yau cones and Kähler-Einstein metrics of negative Ricci with a cuspidal point. As an application, we describe singularities and cuspidal ends of the completions of the complex hyperbolic metrics on the moduli spaces of ordered configurations of points in the projective line introduced by Deligne-Mostow and Thurston.

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