Surveys in Differential Geometry

Volume 23 (2018)

Collapsing Calabi–Yau manifolds

Pages: 305 – 337

DOI: https://dx.doi.org/10.4310/SDG.2018.v23.n1.a8

Author

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

Abstract

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.

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Published 5 May 2020