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 variety is comp...

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Bibliographic Details
Main Authors: Blum, Harold (Author), Halpern-Leistner, Daniel (Author), Liu, Yuchen (Author), Xu, Chenyang (Author)
Format: Article
Language:English
Published: Springer International Publishing, 2021-11-01T14:34:09Z.
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