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

页码：684 / 705

页数：22

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