129 citations · 329 across the 58 of their papers we have counts for
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A note on the very ampleness of complete linear systems on blowings-up of P^3
Cindy De Volder, Antonio Laface
In this note we consider the blowing-up X of P^3 along r general points of the anticanonical divisor of a smooth quadric in P^3. Given a complete linear system |L| = |dH - m_1 E_1…
Recent results on linear systems on generic K3 surfaces
Cindy De Volder, Antonio Laface
In this note we relate about the problem of evaluate the dimension of linear systems through fat points defined on generic surfaces.
A conjecture on special linear systems of P^3
Antonio Laface, Luca Ugaglia
In this note we consider the behavior of linear systems of P^3 through fat points under a cubo-cubic Cremona transformation. This allows us to produce a class of special systems wh…
A counterexample to a conjecture on linear systems on P^3
Antonio Laface, Luca Ugaglia
In this note we give a counterexample to a conjecture proposed by Ciliberto about special linear systems of P^n through multiple base points.
On multiples of divisors associated to Veronese embeddings with defective secant variety
Antonio Laface, Luca Ugaglia
In this note we consider multiples aD, where D is a divisor of the blow-up of P^n along points in general position which appears in the Alexander and Hirschowitz list of Veronese e…
Base locus of linear systems on the blowing-up of P^3 along at most 8 general points
Cindy De Volder, Antonio Laface
Consider a (non-empty) linear system of surfaces of degree d in P^3 through at most 8 multiple points in general position and let L denote the corresponding complete linear system…