A Guided Tour to Normalized Volume

2018/06/19 by Chi Li, Yuchen Liu, Li, Chi +3 · 3 citations
Mathematics · #Algebraic Geometry (math.AG) #Algebraic and Geometric Analysis #Commutative Algebra (math.AC) #Differential Geometry (math.DG) #FOS: Mathematics #Mathematical functions and polynomials #Mathematics and Applications

paper · pdf · doi:10.48550/arxiv.1806.07112

openalex publication_date 2018/06/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This is a survey on the recent theory on minimizing the normalized volume function attached to any klt singularities.

Cited by

• Optimal bounds for local volumes of threefold singularities
• On Sun-Zhang's theory of Fano fibrations -- weighted volumes, moduli and bubbling Fano fibrations
• Log Calabi--Yau structure for endomorphisms on Pⁿ

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