Diameter bounds for degenerating Calabi-Yau metrics
Differential Geometry
2024-06-10 v2 Algebraic Geometry
Metric Geometry
Abstract
We obtain sharp upper and lower bounds for the diameter of Ricci-flat Kahler metrics on polarized Calabi-Yau degeneration families, as conjectured by Kontsevich-Soibelman.
Keywords
Cite
@article{arxiv.2006.13068,
title = {Diameter bounds for degenerating Calabi-Yau metrics},
author = {Yang Li and Valentino Tosatti},
journal= {arXiv preprint arXiv:2006.13068},
year = {2024}
}
Comments
10 pages; final version to appear in J. Differential Geom