In this paper we present a combinatorial study of binomial ideals of dimension I of k[X-l,.., X-n], using monomial parametrizations of the irreducible affine curves defined by their associated primes. We find an algorithm that checks whether or not the ideal of a union of monomial curves is binomial and another one that calculates curves such that their associated ideal is a prescribed lattice ideal. (C) 2004 Elsevier Ltd. All rights reserved.
机构:
Tohoku Univ, Res Alliance Ctr Math Sci, 2-1-1 Katahira,Aoba Ku, Sendai, Miyagi 9808578, JapanChiba Univ, Grad Sch Sci, Dept Math & Informat, 1-33 Yayoi Cho,Inage Ku, Chiba 2638522, Japan