129 citations · 329 across the 58 of their papers we have counts for
5 papers · 1 filter
On linear systems of P^3 through multiple points
Cindy De Volder, Antonio Laface
In this paper we prove a conjecture about the dimension of linear systems of surfaces of degree d in P^3 through at most eight multiple points in general position.
On a class of special linear systems of P^3
Antonio Laface, Luca Ugaglia
In this paper we deal with linear systems of P^3 through fat points. We consider the behavior of these systems under a cubo-cubic Cremona transformation that allows us to produce a…
Degeneration of linear systems through fat points on K3 surfaces
Cindy De Volder, Antonio Laface
In this paper we introduce a technique to degenerate K3 surfaces and linear systems through fat points in general position on K3 surfaces. Using this degeneration we show that on g…
Special linear Systems on Toric Varieties
Antonio Laface, Luca Ugaglia
We consider linear systems on toric varieties of any dimension, with invariant base points, giving a characterization of special linear systems. We then make a new conjecture for l…
Linear systems on generic K3 surfaces
Cindy De Volder, Antonio Laface
In this paper we prove the equivalence of two conjectures on linear systems through fat points on a generic K3 surface. The first conjecture is exactly as Segre conjecture on the p…