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Title:
Existence of separated good moduli spaces of K-polystable Fanos
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Abstract:
We will survey how recent advances in moduli theory allow for the construction of a separated algebraic space parameterizing K-polystable Fano varieties. The argument depends on establishing certain valuative criteria, called S-completeness and \Theta-reductivity, for the moduli stack of K-semistable Fanos. This is joint work with Harold Blum, Daniel Halpern-Leistner and Chenyang Xu.
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