Resolutions of fat point ideals involving eight general points of P2

被引：17
|
作者：
Fitchett, S [1 ]
Harbourne, B
Holay, S
机构：
[1] Florida Atlantic Univ, Honors Coll, Jupiter, FL 33458 USA
[2] Univ Nebraska, Dept Math & Stat, Lincoln, NE 68588 USA
[3] SE Community Coll, Dept Math, Lincoln, NE 68508 USA
来源：
JOURNAL OF ALGEBRA | 2001年 / 244卷 / 02期
基金：
美国国家科学基金会;
关键词：
minimal free resolution; rational surface; fat point;
D O I：
10.1006/jabr.2001.8931
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The main result, Theorem 1. provides an algorithm for determining the minimal free resolution of fat point subschemes of P-2 involving up to eight general points of arbitrary multiplicities. The resolutions obtained hold for any algebraically closed field, independent of the characteristic. The algorithm works by giving a formula in nice cases and a reduction to the nice cases otherwise. The algorithm, which does not involve Grobner bases, is very fast. Partial information is also obtained in certain cases with n > 8. (C) 2001 Academic Press.
引用
收藏
页码：684 / 705
页数：22
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