具有大列夫谢茨缺陷的法诺 4 折叠的 K-多稳性

arXiv - MATH - Differential Geometry Pub Date : 2024-09-05 DOI:arxiv-2409.03571

Eleonora A. Romano, Saverio A. Secci

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摘要

我们研究了具有大Lefschetz缺陷（大于或等于3）的光滑复法诺4折面的K稳定性，特别关注Lefschetz缺陷为3的情况。特别是，我们确定了这些法诺 4 折叠是否是 K-多稳的，并证明了有 5 个（共 19 个）Lefschetz 缺陷为 3 的 K-多稳光滑法诺 4 折叠族。

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K-polystability of Fano 4-folds with large Lefschetz defect

We study K-stability on smooth complex Fano 4-folds having large Lefschetz defect, that is greater or equal then 3, with a special focus on the case of Lefschetz defect 3. In particular, we determine whether these Fano 4-folds are K-polystable or not, and show that there are 5 families (out of 19) of K-polystable smooth Fano 4-folds with Lefschetz defect 3.

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arXiv - MATH - Differential Geometry

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