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math.AG2024
K-polystability of Fano 4-folds with large Lefschetz defect
Eleonora A. Romano, Saverio A. Secci
In this paper, we investigate K-polystability on smooth complex Fano 4-folds with Lefschetz defect at least 2, focusing on the case of Lefschetz defect 3 and on Casagrande-Druel Fa…
math.AG2024
Classifying Fano 4-folds with a rational fibration onto a 3-fold
Cinzia Casagrande, Saverio Andrea Secci
We study smooth, complex Fano 4-folds X with a rational contraction onto a 3-fold, namely a rational map X-->Y that factors as a sequence of flips X-->X' followed by a surjective m…