2022/11/01 by Lukas Braun, Braun, Lukas
Mathematics · #14M25 #57R18 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Primary 32Q20 #Secondary 14J45
paper · pdf · doi:10.48550/arxiv.2211.00404
openalex publication_date 2022/11/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this short note, we investigate the existence of orbifold Kähler-Einstein metrics on toric varieties. In particular, we show that every ℚ-factorial normal projective toric variety allows an orbifold Kähler-Einstein metric. Moreover, we characterize the K-stability of ℚ-factorial toric pairs of Picard number one in terms of the log Cox ring and the universal orbifold cover.