In this paper we find an algorithm which computes the Hilbert function of schemes Z of "fat points" in P^3 whose support lies on a rational normal cubic curve C. The algorithm shows that the maximality of the Hilbert function in degree t is related to the existence of fixed curves (either C itself or one of its secant lines) for the linear system of surfaces of degree t containing Z.
On the Hilbert function of fat points on a rational normal cubic
CATALISANO, MARIA VIRGINIA;
1996-01-01
Abstract
In this paper we find an algorithm which computes the Hilbert function of schemes Z of "fat points" in P^3 whose support lies on a rational normal cubic curve C. The algorithm shows that the maximality of the Hilbert function in degree t is related to the existence of fixed curves (either C itself or one of its secant lines) for the linear system of surfaces of degree t containing Z.
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