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On the Resolution of Ideals of Fat Points

✍ Scribed by G. Fatabbi

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 131 KB
Volume: 242
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.2001.8798

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✦ Synopsis

In this paper we determine the Hilbert function and the minimal system of generators of r + 1 ≤ n + 1 general fat points of n . Furthermore, by looking at the minimal system of generators we can show that the ideal associated to two fat points in n or the ideal associated to r + 1 ≤ n general fat points, all with the same multiplicities, is a splittable ideal, and this is the first step in constructing a minimal resolution.

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