Local models for conical Kähler-Einstein metrics

C. Spotti and M. de Borbon present new results on arXiv

2018.05.16 | Christine Dilling

"In this paper we use the Calabi ansatz, in the context of metrics with conical singularities along a divisor, to produce 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 Thurston and Deligne-Mostow".  

Link to arXiv