K-stability of Casagrande-Druel varieties
I Cheltsov, TD Guerreiro, K Fujita, I Krylov… - arXiv preprint arXiv …, 2023 - arxiv.org
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 …
dimensional varieties constructed from Fano double covers of dimension $ n-1$. We …
Sur une conjecture de Mukai
L Bonavero, C Casagrande, O Debarre… - Commentarii Mathematici …, 2003 - Springer
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 …
de nombre de Picard ρ X et de pseudo-indice ι X vérifie ρX(ιX-1)≤dim(X).Nousdémontronscetteconjecturedansplusie …
Generalized Mukai conjecture for special Fano varieties
M Andreatta, E Chierici, G Occhetta - Open Mathematics, 2004 - degruyter.com
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 …
generalization of a conjecture of Mukai says that ρX (i X− 1)≤ n. We prove that the …
[HTML][HTML] Characterization of projective spaces by Seshadri constants
Characterization of projective spaces by Seshadri constants | Mathematische Zeitschrift Skip to
main content SpringerLink Log in Menu Find a journal Publish with us Search Cart 1.Home …
main content SpringerLink Log in Menu Find a journal Publish with us Search Cart 1.Home …
The Lefschetz defect of Fano varieties
C Casagrande - Rendiconti del Circolo Matematico di Palermo Series 2, 2023 - Springer
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 …
been intensively studied both classically and in recent times, due to their significance in the …
On the Picard number of divisors in Fano manifolds
C Casagrande - Annales scientifiques de l'Ecole normale supérieure, 2012 - numdam.org
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 …
premier dans X. Nous considérons l'image N 1 (D, X) de N 1 (D) dans N 1 (X) par …
Locally unsplit families of rational curves of large anticanonical degree on Fano manifolds
C Casagrande, S Druel - International Mathematics Research …, 2015 - academic.oup.com
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 …
family of rational curves of anticanonical degree. We first observe that their Picard number is …
Ruled Fano fivefolds of index two
C Novelli, G Occhetta - Indiana University mathematics journal, 2007 - JSTOR
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 …
and Gianluca Occhetta ABSTRACT. We classify Fano fivefolds of index two which are …
Quasi-elementary contractions of Fano manifolds
C Casagrande - Compositio Mathematica, 2008 - cambridge.org
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→ …
type of X, which are a natural generalization of elementary contractions of fiber type. If f: X→ …
Classification of Fano manifolds containing a negative divisor isomorphic to projective space
T Tsukioka - Geometriae Dedicata, 2006 - Springer
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 …
isomorphic to P^ n-1 such that deg NE/X is strictly negative. Our main tool is the extremal …