Quadratic Gröbner bases arising from partially ordered sets
arXiv:1506.00802
Abstract
The order polytope and the chain polytope associated to a partially ordered set are studied. In this paper, we introduce the convex polytope which is the convex hull of , where both and are partially ordered sets with . It will be shown that is a normal and Gorenstein Fano polytope by using the theory of reverse lexicographic squarefree initial ideals of toric ideals.
6 pages, we added new section, consists of example and remark. This paper will be appeared in Mathematica Scandinavica