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Olivier Biquard: Lectures

September 12, 2023
TITLE: Limits of Kähler-Einstein metrics with cone singularities, and Calabi-Yau metrics

ABSTRACT: There exist various constructions of open Calabi-Yau metrics (Kähler Ricci flat metrics on quasiprojective varieties). There are general questions about obtaining them as limits of Kähler-Einstein metrics with cone singularities on compactifications. I will discuss several cases, in particular the case of the Tian-Yau metric on the complement of an anticanonical divisor in a Fano manifold. Joint work with Henri Guenancia.