Local models for conical Kähler-Einstein metrics

TY - JOUR

T1 - Local models for conical Kähler-Einstein metrics

AU - Spotti, Cristiano

AU - de Borbon, Martin

PY - 2019/3

Y1 - 2019/3

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.

UR - http://www.scopus.com/inward/record.url?scp=85065085316&partnerID=8YFLogxK

U2 - 10.1090/proc/14302

DO - 10.1090/proc/14302

M3 - Journal article

SN - 0002-9939

VL - 147

SP - 1217

EP - 1230

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 3

ER -