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Title:
The uniqueness of K-polystable Fano degeneration
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Abstract:
(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.
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