Supernormal Vector Configurations

@inproceedings{Hosten2004SupernormalVC,
  title={Supernormal Vector Configurations},
  author={Serkan Hosten},
  year={2004}
}
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. 

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