Supernormal Vector Configurations
Serkan Hosten, Diane Maclagan, Bernd Sturmfels
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.
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