On properness of K-moduli spaces and optimal degenerations of Fano varieties

Abstract We establish an algebraic approach to prove the properness of moduli spaces of K-polystable Fano varieties and reduce the problem to a conjecture on destabilizations of K-unstable Fano varieties. Specifically, we prove that if the stability threshold of every K-unstable Fano...

Full description

Bibliographic Details
Main Authors: Blum, Harold, Halpern-Leistner, Daniel, Liu, Yuchen, Xu, Chenyang
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: Springer International Publishing 2021
Online Access:https://hdl.handle.net/1721.1/136911