On systems of binomials in the ideal of a toric variety

被引：14

作者：

Eliahou, S

Villarreal, RH

机构：

[1] Univ Littoral, LMPA Joseph Liouville, F-62228 Calais, France

[2] Inst Politecn Nacl, Ctr Invest & Estudios Avanzados, Dept Matemat, Mexico City 07000, DF, Mexico

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2002年 / 130卷 / 02期

关键词：

toric variety; monomial curve; binomial ideal;

D O I：

10.1090/S0002-9939-01-06024-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let be a toric set in the affine space A(k)(n). Given a set of binomials g(1),...,g(r) in the toric ideal P of we give a criterion for deciding the equality rad(g(1),..,g(r)) =P. This criterion extends to arbitrary dimension, and to arbitrary fields, an earlier result which concerned only monomial curves over an algebraically closed field of characteristic zero.

引用

页码：345 / 351

页数：7

共 6 条

[1] CRITICAL BINOMIALS OF MONOMIAL CURVES [J].