%0 Journal Article
%T Supernormal Vector Configurations
%A Serkan Hosten
%A Diane Maclagan
%A Bernd Sturmfels
%J Mathematics
%D 2001
%I arXiv
%X A configuration of lattice vectors is supernormal if it contains a Hilbert basis for every cone spanned by a subset. We study such configurations from various perspectives, including triangulations, integer programming and Groebner bases. Our main result is a bijection between virtual chambers of the configuration and virtual initial ideals of the associated binomial ideal.
%U http://arxiv.org/abs/math/0105036v1