On multiscale aspects of K\"ahler-Einstein metrics and algebraic geometry
Differential Geometry
2025-09-16 v1 Algebraic Geometry
Abstract
We discuss how metric limits and rescalings of K\"ahler-Einstein metrics connect with Algebraic Geometry, mostly in relation to the study of moduli spaces of varieties, and singularities. Along the way, we describe some elementary examples, review some recent results, and propose some tentative conjectural pictures.
Cite
@article{arxiv.2509.11646,
title = {On multiscale aspects of K\"ahler-Einstein metrics and algebraic geometry},
author = {Cristiano Spotti},
journal= {arXiv preprint arXiv:2509.11646},
year = {2025}
}
Comments
Survey, 40 pages