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) o...

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Bibliographic Details
Main Authors:	Romano, Eleonora A, Secci, Saverio A
Format:	Journal Article
Language:	English
Published:	05-09-2024
Subjects:	Mathematics - Algebraic Geometry Mathematics - Differential Geometry
Online Access:	Get full text
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Summary:	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.
DOI:	10.48550/arxiv.2409.03571