On the existence of conic Kahler-Einstein metrics

2019/03/29 by Gang Tian, Feng Wang, Tian, Gang +1 · 3 citations
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1903.12547

openalex publication_date 2019/03/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we prove the conic version of YTD conjecture on log Fano manifolds.

Citations

• A Brunn-Minkowski type inequality for Fano manifolds and the Bando-Mabuchi uniqueness theorem

Cited by

• Wall crossing for K-moduli spaces of plane curves
• On properness of K-moduli spaces and optimal degenerations of Fano varieties
• The Partial C⁰-estimate along a general continuity path and applications

Related

• Kähler-Einstein metrics
• Cheeger-Colding-Tian theory for conic Kahler-Einstein metrics
• Kahler-Einstein metrics on Fano manifolds, I: approximation of metrics with cone singularities
• Degenerating conic Kähler-Einstein metrics to the normal cone
• Conic Kähler-Einstein metrics along simple normal crossing divisors on Fano manifolds