Ricci-flat metrics on Calabi-Yau manifolds
Differential Geometry
2025-10-16 v2 Complex Variables
Abstract
We study the space of Ricci-flat Kahler metrics on a given Calabi-Yau manifold, pose a number of questions about their possible degenerations, and survey some recent results on these questions.
Cite
@article{arxiv.2509.25607,
title = {Ricci-flat metrics on Calabi-Yau manifolds},
author = {Valentino Tosatti},
journal= {arXiv preprint arXiv:2509.25607},
year = {2025}
}
Comments
24 pages. To appear in the Proceedings of the ICM 2026