Degenerations of conical K盲hler-Einstein metrics
Degenerations of conical K盲hler-Einstein metrics
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Olivier Biquard, Sorbonne Universit茅
Online Talk
Zoom link:听
We study two cases of degenerations of K盲hler-Einstein metrics听with a conical angle around a divisor going to zero. The first case is that of a locally symmetric space and we show convergence to the locally听symmetric metric, with further asymptotics in the case of a ball听quotient. The second case is that of an anticanonical divisor in a Fano听manifold. We answer a question of Donaldson by showing that a rescaled听metric converges to the complete, Ricci flat Tian-Yau metric in the听complement of the divisor.
Joint work with Henri Guenancia.