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math.AG1998
Nodal curves and postulation of generic fat points on surfaces
E. Ballico, L. Chiantini
Let X be a smooth projective surface. Here we study the postulation of a general union Z of fat points of X, when most of the connected components of Z have multiplicity 2. This pr…
math.AG1998
On the Severi varieties of surfaces in P^3
L. Chiantini, C. Ciliberto
The Severi variety V_{n,d} of a smooth projective surface S is defined as the subvariety of the linear system |O_S(n)|, which parametrizes curves with d nodes. We show that, for a…