Details:
Title  Reduced Gr\"obner bases of certain toric varieties; a new short proof.  Author(s)  Ibrahim AlAyyoub  Type  Article in Journal  Abstract  Let K be a field and let m 0,…,m n be an almost arithmetic sequence of positive integers. Let C be a toric variety in the affine (n + 1)space, defined parametrically by x 0 = t m 0 ,…,x n = t m n . In this article we produce a minimal Gröbner basis for the toric ideal which is the defining ideal of C and give sufficient and necessary conditions for this basis to be the reduced Gröbner basis of C, correcting a previous work of [6] and giving a much simpler proof than that of [1].  Keywords  Gröbner basis, Monomial curves, Polynomial ideals, Toric varieties  ISSN  00927872; 15324125/e 
URL 
http://www.tandfonline.com/doi/abs/10.1080/00927870902747902 
Language  English  Journal  Commun. Algebra  Volume  37  Number  9  Pages  29452955  Publisher  Taylor & Francis, Philadelphia, PA  Year  2009  Edition  0  Translation 
No  Refereed 
No 
