Resolutions of ideals of any six fat points in P2

JOURNAL OF ALGEBRA

卷:318

Article

Guardo, Elena¹  Harbourne, Brian² 

[1] Dipartimento Matemat & Informat, I-95100 Catania, Italy

[2] Univ Nebraska, Dept Math, Lincoln, NE 68588 USA

关键词: fat points;    free resolution;    cubic surface;    matroid;    Hilbert function;   

DOI  :  10.1016/j.jalgebra.2007.09.018

来源: Elsevier

【 摘 要 】

The graded Belli numbers of the minimal free resolution (and also therefore the Hilbert function) of the ideal of a fat point subscherne Z of P-2 are determined whenever Z is supported at any 6 or fewer distinct points. All results hold over an algebraically closed field k of arbitrary characteristic. (c) 2007 Elsevier Inc. All rights reserved.

【 授权许可】

Free