对数法诺锥奇点的 K-semistability

arXiv - MATH - Differential Geometry Pub Date : 2024-08-09 DOI:arxiv-2408.05189

Yuchen Liu, Yueqiao Wu

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引用次数: 0

摘要

我们给出了对数法诺孔奇点的 K-semistability 的非阿基米德特征，并证明它与 Collins--Sz\'ekelyhidi 最初定义的定义一致。作为应用，我们证明要检验K-可存性，只需检验特殊的检验配置。我们还证明，特殊的测试配置会产生环等边补集的 lc 位置。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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K-semistability of log Fano cone singularities

We give a non-Archimedean characterization of K-semistability of log Fano cone singularities, and show that it agrees with the definition originally defined by Collins--Sz\'ekelyhidi. As an application, we show that to test K-semistability, it suffices to test special test configurations. We also show that special test configurations give rise to lc places of torus equivariant bounded complements.

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arXiv - MATH - Differential Geometry

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