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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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Main Authors: Martin de Borbon, Cristiano Spotti
Format: Default Article
Published: 2019
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Online Access:https://hdl.handle.net/2134/24526447.v1
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author Martin de Borbon
Cristiano Spotti
author_facet Martin de Borbon
Cristiano Spotti
author_sort Martin de Borbon (16976562)
collection Figshare
description 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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institution Loughborough University
publishDate 2019
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spelling rr-article-245264472019-03-01T00:00:00Z Local models for conical Kähler-Einstein metrics Martin de Borbon (16976562) Cristiano Spotti (17361656) Pure mathematics General Mathematics 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.<p></p> 2019-03-01T00:00:00Z Text Journal contribution 2134/24526447.v1 https://figshare.com/articles/journal_contribution/Local_models_for_conical_K_hler-Einstein_metrics/24526447 CC BY-NC-ND 4.0
spellingShingle Pure mathematics
General Mathematics
Martin de Borbon
Cristiano Spotti
Local models for conical Kähler-Einstein metrics
title Local models for conical Kähler-Einstein metrics
title_full Local models for conical Kähler-Einstein metrics
title_fullStr Local models for conical Kähler-Einstein metrics
title_full_unstemmed Local models for conical Kähler-Einstein metrics
title_short Local models for conical Kähler-Einstein metrics
title_sort local models for conical kähler-einstein metrics
topic Pure mathematics
General Mathematics
url https://hdl.handle.net/2134/24526447.v1