Reductivity of the automorphism group of K-polystable Fano varieties

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 c...

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Bibliographic Details
Main Authors: Alper, Jarod, Blum, Harold, Halpern-Leistner, Daniel, Xu, Chenyang
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: Springer Berlin Heidelberg 2020
Online Access:https://hdl.handle.net/1721.1/128467