On multiscale aspects of Kähler–Einstein metrics and 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.

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Publication Details

Journal
EMS Surveys in Mathematical Sciences
Published
2026-10-30
DOI
https://doi.org/10.4171/emss/130
Primary Topic
Geometry and complex manifolds
Type
article
Field-Weighted Citation Impact
0.00
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article

On multiscale aspects of Kähler–Einstein metrics and algebraic geometry

Cristiano Spotti
EMS Surveys in Mathematical Sciences
Geometry and complex manifolds
article

On multiscale aspects of Kähler–Einstein metrics and algebraic geometry

Cristiano Spotti
article en

Abstract

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.

EMS Surveys in Mathematical Sciences
Aarhus University (DK)
Openalex Percentile: Top 89%
Geometry and complex manifolds
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On multiscale aspects of Kähler–Einstein metrics and algebraic geometry — Cristiano Spotti · EMS Surveys in Mathematical Sciences (2026) | TGRS Research Map | TGRS