8 citations · 15 across the 6 of their papers we have counts for
7 papers
Linear systems on a class of anticanonical rational threefolds
Cindy De Volder, Antonio Laface
Let X be the blow-up of the three dimensional complex projective space along r general points of a smooth elliptic quartic curve B of P^3 and let L be any line bundle of X. The aim…
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.
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…
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.
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…