Reduced Gröbner Bases of Certain Toric Varieties; A New Short Proof

Content Provider	Semantic Scholar
Author	Al-Ayyoub, Ibrahim
Copyright Year	2009
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].
Starting Page	2945
Ending Page	2955
Page Count	11
File Format	PDF HTM / HTML
DOI	10.1080/00927870902747902
Alternate Webpage(s)	https://arxiv.org/pdf/1009.0790v1.pdf
Alternate Webpage(s)	https://doi.org/10.1080/00927870902747902
Volume Number	37
Language	English
Access Restriction	Open
Content Type	Text
Resource Type	Article