加权超曲面的三角变量

arXiv - MATH - Differential Geometry Pub Date : 2024-08-06 DOI:arxiv-2408.03057

Taro Sano, Luca Tasin

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引用次数: 0

摘要

我们给出了准光滑加权超曲面基底除数的三角不变量下限。因此，我们证明了指数为 1 的一大类准光滑法诺超曲面以及指数为 1 和 2 的所有光滑法诺加权超曲面的 K 稳定性。证明基于阿班--庄方法和加权超曲面旗上线性系统的研究。

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Delta invariants of weighted hypersurfaces

We give a lower bound for the delta invariant of the fundamental divisor of a quasi-smooth weighted hypersurface. As a consequence, we prove K-stability of a large class of quasi-smooth Fano hypersurfaces of index 1 and of all smooth Fano weighted hypersurfaces of index 1 and 2. The proofs are based on the Abban--Zhuang method and on the study of linear systems on flags of weighted hypersurfaces.

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arXiv - MATH - Differential Geometry

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