2020/12/24 by DongSeon Hwang, Hwang, DongSeon, Yeonsu Kim +1
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Combinatorics (math.CO) #FOS: Mathematics #Geometry and complex manifolds
paper · pdf · doi:10.48550/arxiv.2012.13373
openalex publication_date 2020/12/24 · openalex created_date 2024/04/04 · openalex updated_date 2026/07/28
We investigate singular symmetric and Kähler--Einstein Fano polytopes. More precisely, we show that every symmetric Fano polytope is Kähler--Einstein generalizing the work by Batyrev and Selivanova, and study the automorphism groups of symmetric and Kähler--Einstein Fano polygons in detail. In particular, every finte subgroup of GL2(ℤ) is an automorphism group of a Kähler--Einstein Fano polygon.