5 citations · 5 across the 3 of their papers we have counts for
8 papers · 1 filter
Halphen conditions and postulation of nodes
L. Chiantini, N. Chiarli, S. Greco
We give sharp lower bounds for the postulation of the nodes of a general plane projection of a smooth connected curve C in P^r and we study the relationships with the geometry of t…
A splitting criterion for rank 2 vector bundles on a general sextic threefold
Luca Chiantini, Carlo Madonna
In this paper we show that on a general sextic hypersurface , a rank 2 vector bundle splits if and only if for any . We get thus a…
On the classification of defective threefolds
L. Chiantini, C. Ciliberto
We classify all irreducible projective threefolds which are -defective, i.e. some -secant variety of has dimension less than the expected value. This results extends…
Grassmannians of secant varieties
L. Chiantini, M. Coppens
For an irreducible projective variety X, we study the family of h-planes contained in the secant variety Sec_k(X), for 0<h<k. These families have an expected dimension and we study…
Focal loci of families and the genus of curves on surfaces
L. Chiantini, A. F. Lopez
In this article we apply the classical method of focal loci of families to give a lower bound for the genus of curves lying on general surfaces. First we translate and reprove Xu's…
Subvarieties of generic hypersurfaces in any variety
L. Chiantini, A. F. Lopez, Z. Ran
Let W be a projective variety of dimension n+1, L a free line bundle on W, X in a hypersurface of degree d which is generic among those given by sums of monomials from $…