Supernormal Vector Configurations

Authors:
Serkan Hoşten;Diane Maclagan;Bernd Sturmfels
Affiliations:
Department of Mathematics, San Francisco State University, San Francisco, USA 94132;Department of Mathematics, Stanford University, Stanford, USA 94305;Department of Mathematics, University of California, Berkeley, USA 94720
Venue:
Journal of Algebraic Combinatorics: An International Journal
Year:
2004

Citing 5
Cited 2

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Abstract

A configuration of lattice vectors is supernormal if it contains a Hilbert basis for every pointed cone spanned by a subset. We study such configurations from various perspectives, including triangulations, integer programming and Gröbner bases. Our main result is a bijection between virtual chambers of the configuration and virtual initial ideals of the associated binomial ideal.