13 citations · 26 across the 5 of their papers we have counts for
9 papers · 1 filter
On covering and quasi-unsplit families of rational curves
L. Bonavero, C. Casagrande, S. Druel
We study extremality properties of covering families of rational curves on projective varieties. Among others, we show that on a normal and Q-factorial projective variety of dimens…
The number of vertices of a Fano polytope
C. Casagrande
Let X be a complex, Gorenstein, Q-factorial, toric Fano variety. We prove two conjectures on the maximal Picard number of X in terms of its dimension and its pseudo-index, and char…
Moduli of Prym curves
Edoardo Ballico, Cinzia Casagrande, Claudio Fontanari
Here we focus on the compactification of the moduli space of curves of genus g together with an unramified double cover, constructed by Arnaud Beauville in order to compactify the…
Centrally symmetric generators in toric Fano varieties
Cinzia Casagrande
We give a structure theorem for n-dimensional smooth toric Fano varieties whose associated polytope has "many" pairs of centrally symmetric vertices.
Combinatorial properties of stable spin curves
Lucia Caporaso, Cinzia Casagrande
The geometry of the moduli space of stable spin curves is studied, with emphasis on its combinatorial properties. In this context, the standard graph theoretic framework is not jus…
Sur une conjecture de Mukai
L. Bonavero, C. Casagrande, O. Debarre +1
Generalizing a question of Mukai, we conjecture that a Fano manifold with Picard number and pseudo-index satisfies . We prove this inequali…