2010/09/03 by Al-Ayyoub, Ibrahim
#13P10 #Commutative Algebra (math.AC) #FOS: Mathematics
paper · doi:10.48550/arxiv.1009.0790
Let K be a field and let m0,...,mn be an almost arithmetic sequence of positive integers. Let C be a toric variety in the affine (n+1)-space, defined parametrically by x0=tm0,...,xn=t^mn. In this paper 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 \citeSen and giving a much simpler proof than that of \citeAyy.