A conjecture on special linear systems of $mathbb{P}^3$

2005

Standard classes on the blow-up of $\mathbb{P}^n$ at points in very general position

2012

On a class of special linear systems of P^3

2003

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 class of special systems which we conjecture to be the only ones.

Quasi-Homogeneous Linear Systems on with Base Points of Multiplicity multiplicity 5

2003

In this paper we consider linear systems of ℙ2 with all but one of the base points of multiplicity 5. We give an explicit way to evaluate the dimensions of such systems

A counterexample to a conjecture on linear systems on ℙ3

2004

In this paper [1] Ciliberto proposes a conjecture in order to characterize special linear systems of IPn through multiple base points. In this note we give a counterexample to this conjecture by showing that there is a substantial difference between the speciality of linear systems on IP 2 and those of IP3.