Collapsing Calabi-Yau manifolds
Differential Geometry
2020-05-08 v1 Algebraic Geometry
Complex Variables
Metric Geometry
Abstract
We survey some recent developments on the problem of understanding degenerations of Calabi-Yau manifolds equipped with their Ricci-flat Kahler metrics, with an emphasis on the case when the metrics are volume collapsing.
Cite
@article{arxiv.2003.00673,
title = {Collapsing Calabi-Yau manifolds},
author = {Valentino Tosatti},
journal= {arXiv preprint arXiv:2003.00673},
year = {2020}
}
Comments
33 pages, submitted to Surveys in Differential Geometry