We introduce a new subclass of Fano varieties (Casagrande-Druel varieties), that are $ n $-
dimensional varieties constructed from Fano double covers of dimension $ n-1$. We …

Résumé Généralisant une question de Mukai, nous conjecturons qu'une variété de Fano X
de nombre de Picard ρ X et de pseudo-indice ι X vérifie ρX(ιX-1)≤dim(X).Nousdémontronscetteconjecturedansplusie …

Let X be a Fano variety of dimension n, pseudoindex i X and Picard number ρX. A
generalization of a conjecture of Mukai says that ρX (i X− 1)≤ n. We prove that the …

Characterization of projective spaces by Seshadri constants | Mathematische Zeitschrift Skip to
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Smooth, complex Fano varieties are a very natural class of projective varieties, and have
been intensively studied both classically and in recent times, due to their significance in the …

R.–Soient X une variété de Fano lisse et complexe de dimension arbitraire, et D un diviseur
premier dans X. Nous considérons l'image N 1 (D, X) de N 1 (D) dans N 1 (X) par …

In this paper, we address Fano manifolds of dimension with a locally unsplit dominating
family of rational curves of anticanonical degree. We first observe that their Picard number is …

Ruled Fano Fivefolds of Index Two Page 1 Ruled Fano Fivefolds of Index Two Carla Novelli
and Gianluca Occhetta ABSTRACT. We classify Fano fivefolds of index two which are …

Let X be a smooth complex Fano variety. We study 'quasi-elementary'contractions of fiber
type of X, which are a natural generalization of elementary contractions of fiber type. If f: X→ …

We classify n-dimensional complex Fano manifolds X (n≥ 3) containing a divisor E
isomorphic to P^ n-1 such that deg NE/X is strictly negative. Our main tool is the extremal …