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. (C) 1996 Academic Press, Inc.
Catalisano M.V., Gimigliano A. (1996). On the Hilbert function of fat points on a rational normal cubic. JOURNAL OF ALGEBRA, 183(1), 245-265 [10.1006/jabr.1996.0218].
On the Hilbert function of fat points on a rational normal cubic
Gimigliano A.
1996
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. (C) 1996 Academic Press, Inc.File in questo prodotto:
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