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Supernormal Vector Configurations

Serkan Hosten·Diane Maclagan·Bernd Sturmfels
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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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Serkan Hosten, Diane Maclagan, Bernd Sturmfels. 2001-05-04. Supernormal Vector Configurations. https://arxiv.org/abs/math/0105036

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