Supernormal Vector Configurations
classification
🧮 math.CO
math.AC
keywords
configurationconfigurationssupernormalvirtualassociatedbasesbasisbijection
read the original 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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