On multiscale aspects of Kähler-Einstein metrics and algebraic geometry

2025/09/15 by Spotti, Cristiano
#Algebraic Geometry (math.AG) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2509.11646

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.

Citations

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Related

• Kahler-Einstein metrics and algebraic geometry
• Kähler-Einstein metrics and algebraic structures on limit spaces
• Kähler-Einstein metrics on Q-smoothable Fano varieties, their moduli and some applications
• Kähler-Einstein metrics
• Dynamical construction of Kähler-Einstein metrics