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Publications Influence

Moduli of roots of line bundles on curves

- L. Caporaso, C. Casagrande, M. Cornalba
- Mathematics
- 5 April 2004

We treat the problem of completing the moduli space for roots of line bundles on curves. Special attention is devoted to higher spin curves within the universal Picard scheme. Two new different… Expand

52 7- PDF

Contractible classes in toric varieties

- C. Casagrande
- Mathematics
- 30 November 2001

Let X be a smooth, complete toric variety. Let A1(X) be the group of algebraic 1-cycles on X modulo numerical equivalence and N1(X) = A1(X)⊗ZQ . Consider inN1(X) the coneNE(X) generated by classes of… Expand

33 5- PDF

Sur une conjecture de Mukai

- L. Bonavero, C. Casagrande, O. Debarre, S. Druel
- Mathematics
- 25 April 2002

RésuméGénéralisant une question de Mukai,
nous conjecturons qu’une variété
de Fano X de nombre de Picard
ρX et
de pseudo-indice
ιX vérifie
$ρX
(ιX - 1)
≤ dim(X).
Nous démontrons cette conjecture… Expand

38 2- PDF

Locally Unsplit Families of Rational Curves of Large Anticanonical Degree on Fano Manifolds

- C. Casagrande, S. Druel
- Mathematics
- 20 December 2012

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

17 2- PDF

Centrally symmetric generators in toric Fano varieties

- C. Casagrande
- Mathematics
- 22 October 2002

Abstract.We give a structure theorem for n-dimensional smooth toric Fano varieties whose associated polytope has ``many'' pairs of centrally symmetric vertices.

18 2- PDF

Moduli of Prym curves

- E. Ballico, C. Casagrande, C. Fontanari
- Mathematics
- 15 April 2003

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 Prym mapping. We… Expand

9 2- PDF

Combinatorial Properties of Stable Spin Curves

- L. Caporaso, C. Casagrande
- Mathematics
- 2 September 2002

Abstract 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 just a… Expand

21 2- PDF

Quasi-elementary contractions of Fano manifolds

- C. Casagrande
- Mathematics
- Compositio Mathematica
- 30 April 2007

Abstract 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→Y is… Expand

20 1- PDF

On the Picard number of divisors in Fano manifolds

- C. Casagrande
- Mathematics
- 20 May 2009

Let X be a complex Fano manifold of arbitrary dimension, and D a prime divisor in X. We consider the image H of N_1(D) in N_1(X) under the natural push-forward of 1-cycles. We show that the… Expand

24 1- PDF

Projective Q-factorial toric varieties covered by lines

- C. Casagrande, S. D. Rocco
- Mathematics
- 16 December 2005

We give a structural theorem for ℚ-factorial toric varieties covered by lines in ℙN, and compute their dual defect. This yields a characterization of defective ℚ-factorial toric varieties in ℙN. The… Expand

20- PDF

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