Symmetric and K\"ahler--Einstein Fano polygons
Algebraic Geometry
2024-10-01 v4 Combinatorics
Abstract
We investigate \emph{singular} symmetric and K\"ahler--Einstein Fano polytopes. More precisely, we show that every symmetric Fano polytope is K\"ahler--Einstein generalizing the work by Batyrev and Selivanova, and study the automorphism groups of symmetric and K\"ahler--Einstein Fano polygons in detail. In particular, every finte subgroup of is an automorphism group of a K\"ahler--Einstein Fano polygon.
Cite
@article{arxiv.2012.13373,
title = {Symmetric and K\"ahler--Einstein Fano polygons},
author = {DongSeon Hwang and Yeonsu Kim},
journal= {arXiv preprint arXiv:2012.13373},
year = {2024}
}
Comments
Final version, to appear in Proc. Amer. Math. Soc