In this paper we determine the Hilbert function and the minimal system of generators of $r+1\leq n+1$ general fat points of $\textbf{P}^n.$ Furthermore, by looking at the minimal system of generators we can show that the ideal associated to two fat points in $\textbf{P}^n.$ or the ideal associated to $r+1\leq n$ general fat points, all with the same multiplicities, is a splittable ideal, and this is the first step in constructing a minimal resolution.
On the resolution of ideals of fat points
FATABBI, Giuliana
2001
Abstract
In this paper we determine the Hilbert function and the minimal system of generators of $r+1\leq n+1$ general fat points of $\textbf{P}^n.$ Furthermore, by looking at the minimal system of generators we can show that the ideal associated to two fat points in $\textbf{P}^n.$ or the ideal associated to $r+1\leq n$ general fat points, all with the same multiplicities, is a splittable ideal, and this is the first step in constructing a minimal resolution.File in questo prodotto:
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