A valuative criterion of K-polystability

Published 10 Jun 2024 in math.AG | (2406.06176v1)

Abstract: For any log Fano pair with a torus action, we associate a computable invariant to it, such that the pair is (weighted) K-polystable if and only if this invariant is greater than one. As an application, we present examples of Fano varieties admitting $g$-solitons for any weight function $g$.

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Linsheng Wang

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