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On the Hilbert Function of Fat Points on a Rational Normal Cubic

✍ Scribed by Maria Virginia Catalisano; Alessandro Gimigliano

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
238 KB
Volume
183
Category
Article
ISSN
0021-8693

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✦ Synopsis

In this paper we find an algorithm which computes the Hilbert function of schemes Z of ''fat points'' in ‫ސ‬ 3 whose support lies on a rational normal cubic curve C. The algorithm shows that the maximality of the Hilbert function in degree Ž 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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