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Classifying Hilbert functions of fat point subschemes in ℙ2

✍ Scribed by A. V. Geramita; Brian Harbourne; Juan Migliore

Book ID
105731962
Publisher
Universitat de Barcelona
Year
2009
Tongue
Spanish
Weight
331 KB
Volume
60
Category
Article
ISSN
0010-0757

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📜 SIMILAR VOLUMES

On the Hilbert Function of Fat Points on
On the Hilbert Function of Fat Points on a Rational Normal Cubic
✍ Maria Virginia Catalisano; Alessandro Gimigliano 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 238 KB

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 its

Stationary points of functionals in pre-
Stationary points of functionals in pre-Hilbert spaces
✍ E.K. Blum 📂 Article 📅 1967 🏛 Elsevier Science 🌐 English ⚖ 154 KB

A gradient procedure for determining the stationary points of a functional subject to equality functional constraints is described. It is proved that the procedure converges in the neighborhood of certain well-behaved stationary points.