Supernormal Vector Configurations

Details Supernormal Vector Configurations Supernormal Vector Configurations

2001-05-04

arxiv.org/abs/math/0105036v1

Mathematics

Combinatorics

18 pages, 2 figures

Scientific paper

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.

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