Geodesic
Supernormal vector configurations
Journal of Algebraic Combinatorics, Tome 19 (2004) no. 3, pp. 297-313.

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Summary: 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.
Keywords: triangulation, chamber complex, initial idea, Groebner Fan 
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     title = {Supernormal vector configurations},
     journal = {Journal of Algebraic Combinatorics},
     pages = {297--313},
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     year = {2004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JAC_2004__19_3_a0/}
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Hoşten, Serkan; MacLagan, Diane; Sturmfels, Bernd. Supernormal vector configurations. Journal of Algebraic Combinatorics, Tome 19 (2004) no. 3, pp. 297-313. http://geodesic.mathdoc.fr/item/JAC_2004__19_3_a0/