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Mathematics > Algebraic Geometry

arXiv:2409.03571 (math)
[Submitted on 5 Sep 2024 ]

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

Title: Fano 4-流形的K-稳定性与大的Lefschetz缺陷

Authors:Eleonora A. Romano, Saverio A. Secci
Abstract: 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.
Abstract: 我们研究具有较大Lefschetz缺陷(即大于或等于3)的光滑复Fano 4-流形上的K稳定性,特别关注Lefschetz缺陷为3的情况。 特别是,我们确定这些Fano 4-流形是否为K-多稳定,并表明在19个家族中,有5个家族的光滑Fano 4-流形具有Lefschetz缺陷3且是K-多稳定的。
Subjects: Algebraic Geometry (math.AG) ; Differential Geometry (math.DG)
MSC classes: 14J45
Cite as: arXiv:2409.03571 [math.AG]
  (or arXiv:2409.03571v1 [math.AG] for this version)
  https://doi.org/10.48550/arXiv.2409.03571
arXiv-issued DOI via DataCite

Submission history

From: Eleonora Anna Romano [view email]
[v1] Thu, 5 Sep 2024 14:25:32 UTC (25 KB)
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