On multiscale aspects of Kähler-Einstein metrics and algebraic geometry

Fuente: arXiv
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Autore principale: Spotti, Cristiano
Natura: Preprint
Pubblicazione: 2025
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author Spotti, Cristiano
author_facet Spotti, Cristiano
contents We discuss how metric limits and rescalings of Kähler-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.
format Preprint
id arxiv_https___arxiv_org_abs_2509_11646
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle On multiscale aspects of Kähler-Einstein metrics and algebraic geometry
Spotti, Cristiano
Differential Geometry
Algebraic Geometry
We discuss how metric limits and rescalings of Kähler-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.
title On multiscale aspects of Kähler-Einstein metrics and algebraic geometry
topic Differential Geometry
Algebraic Geometry
url https://arxiv.org/abs/2509.11646