Supernormal Vector Configurations
Combinatorics
2007-05-23 v1 Commutative Algebra
Abstract
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.
Cite
@article{arxiv.math/0105036,
title = {Supernormal Vector Configurations},
author = {Serkan Hosten and Diane Maclagan and Bernd Sturmfels},
journal= {arXiv preprint arXiv:math/0105036},
year = {2007}
}
Comments
18 pages, 2 figures