Local models for conical Kähler-Einstein metrics

Cristiano Spotti, Martin de Borbon

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Abstract

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.

Original languageEnglish
JournalProceedings of the American Mathematical Society
Volume147
Issue3
Pages (from-to)1217-1230
Number of pages14
ISSN0002-9939
DOIs
Publication statusPublished - 2019

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