Local models for conical Kähler-Einstein metrics

de Borbon, Martin; Spotti, Cristiano

doi:10.1090/proc/14302

Local models for conical Kähler-Einstein metrics
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by Martin de Borbon and Cristiano Spotti PDF

Proc. Amer. Math. Soc. 147 (2019), 1217-1230 Request permission

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.

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