Reductivity of the automorphism group of K-polystable Fano varieties
Author(s)Alper, Jarod; Blum, Harold; Halpern-Leistner, Daniel; Xu, Chenyang
MetadataShow full item record
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 Θ-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.
DepartmentMassachusetts Institute of Technology. Department of Mathematics
Springer Berlin Heidelberg
Alper, Jarod et al. "Reductivity of the automorphism group of K-polystable Fano varieties." Inventiones mathematicae 220 (July 2020): 995–1032 © 2020 Springer-Verlag
Author's final manuscript