%0 Journal Article
%T Reduced Gr£¿bner Bases of Certain Toric Varieties; A New Short Proof
%A Ibrahim Al-Ayyoub
%J Mathematics
%D 2010
%I arXiv
%X 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 paper we produce a minimal Gr\"obner 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 Gr\"obner basis of C, correcting a previous work of \cite{Sen} and giving a much simpler proof than that of \cite{Ayy}.
%U http://arxiv.org/abs/1009.0790v1