Local models for conical Kähler-Einstein metrics

Cristiano Spotti; Martin de Borbon

doi:10.1090/proc/14302

Local models for conical Kähler-Einstein metrics

Department of Mathematics - Centre for Quantum Geometry of Moduli Spaces

Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

4 Citations (Scopus)

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 language	English
Journal	Proceedings of the American Mathematical Society
Volume	147
Issue	3
Pages (from-to)	1217-1230
Number of pages	14
ISSN	0002-9939
DOIs	https://doi.org/10.1090/proc/14302
Publication status	Published - Mar 2019

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10.1090/proc/14302

https://arxiv.org/pdf/1804.06815.pdf

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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 K{\"a}hler-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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AU - de Borbon, Martin

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N2 - 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.

AB - 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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DO - 10.1090/proc/14302

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EP - 1230

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

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Local models for conical Kähler-Einstein metrics

Abstract

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