Surveys in Differential Geometry

Volume 23 (2018)

Collapsing Calabi–Yau manifolds

Pages: 305 – 337



Valentino Tosatti (Department of Mathematics, Northwestern University, Evanston, Illinois, U.S.A.)


We survey some recent developments on the problem of understanding degenerations of Calabi–Yau manifolds equipped with their Ricci-flat Kähler metrics, with an emphasis on the case when the metrics are volume collapsing.

Published 5 May 2020