The uniqueness of K-polystable Fano degeneration
Chenyang Xu (Massachusetts Institute of Technology)
MSRI: Simons Auditorium
(Joint with Harold Blum) We want to show that a family of Fano varieties has a unique K-polystable degeneration. This is one step of the program of constructing a moduli space of K-stable Fano varieties, i.e., proving there is an Artin stack parametrizing K-semistable Fano varieties, which admits a projective good moduli space parametrizing K-polystable Fano varieties.