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arXiv · 2406.06176

A valuative criterion of K-polystability

Linsheng Wang
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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. 2024-06-10. A valuative criterion of K-polystability. https://arxiv.org/abs/2406.06176

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