7 citations · 13 across the 8 of their papers we have counts for
13 papers · 1 filter
Special scrolls whose base curve has general moduli
A. Calabri, C. Ciliberto, F. Flamini +1
In this paper we study the Hilbert scheme of smooth, linearly normal, special scrolls under suitable assumptions on degree, genus and speciality.
Brill-Noether theory and non-special scrolls
A. Calabri, C. Ciliberto, F. Flamini +1
In this paper we study the Brill-Noether theory of sub-line bundles of a general, stable rank-two vector bundle on a curve C with general moduli. We relate this theory to the geome…
Non-special scrolls with general moduli
Alberto Calabri, Ciro Ciliberto, Flaminio Flamini +1
In this paper we study smooth, non-special scrolls S of degree d, genus g, with general moduli. In particular, we study the scheme of unisecant curves of a given degree on S. Our a…
Nodal curves with general moduli on K3 surfaces
Flaminio Flamini, Andreas L. Knutsen, Gianluca Pacienza +1
We investigate the modular properties of nodal curves on a low genus K3 surface. We prove that a general genus g curve C is the normalization of a d-nodal curve X sitting on a prim…
On families of rational curves in the Hilbert square of a surface (with an Appendix by Edoardo Sernesi)
Flaminio Flamini, Andreas Leopold Knutsen, Gianluca Pacienza +1
Under natural hypotheses we give an upper bound on the dimension of families of singular curves with hyperelliptic normalizations on a surface S with p_g(S) >0 via the study of the…
Degenerations of scrolls to unions of planes
Alberto Calabri, Ciro Ciliberto, Flaminio Flamini +1
In this paper we study degenerations of scrolls to union of planes, a problem already considered by G. Zappa in 1940-50. We prove, using techniques different from the ones of Zappa…