Reductivity of the automorphism group of K-polystable Fano varieties

Autor:	Alper, Jarod, Blum, Harold, Halpern-Leistner, Daniel, Xu, Chenyang
Rok vydání:	2019
Předmět:	Mathematics - Algebraic Geometry Mathematics - Differential Geometry
Druh dokumentu:	Working Paper
DOI:	10.1007/s00222-020-00987-2
Popis:	We prove that K-polystable log Fano pairs have reductive automorphism groups. In fact, we deduce this statement by establishing more general results concerning the S-completeness and $\Theta$-reductivity of the moduli of K-semistable log Fano pairs. Assuming the conjecture that K-semistability is an open condition, we prove that the Artin stack parametrizing K-semistable Fano varieties admits a separated good moduli space. Comment: 32 pages. Final version. To appear in Inventiones Math
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1906.03122 Zobrazit plný text záznamu View this record from Arxiv