4 papers
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…
Classification of Fano fourfolds with large anticanonical base locus
Andreas Höring, Saverio Andrea Secci
We give a classification of smooth Fano fourfolds such that the base scheme of the anticanonical system is a smooth surface. As a consequence we show that there are exactly 22 defo…
Fano fourfolds with large anticanonical base locus
Andreas Höring, Saverio Andrea Secci
A famous theorem of Shokurov states that a general anticanonical divisor of a smooth Fano threefold is a smooth K3 surface. This is quite surprising since there are several example…
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…