Relative uniform K-stability over models implies existence of extremal metrics

2025/06/03 by Hashimoto, Yoshinori · 1 citation
#32Q26 (Secondary) #53C55 (Primary) #Algebraic Geometry (math.AG) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2506.02360

Abstract

We prove that an extremal metric on a polarised smooth complex projective variety exists if it is \mathbbG-uniformly K-stable relative to the extremal torus over models, extending a result due to Chi Li for constant scalar curvature Kähler metrics.

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