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TitleSupernormal vector configurations.
Author(s) Serkan Hosten, Diane Maclagan, Bernd Sturmfels
TypeArticle in Journal
AbstractA 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
ISSN0925-9899; 1572-9192/e
URL http://link.springer.com/article/10.1023%2FB%3AJACO.0000030705.93448.ce
LanguageEnglish
JournalJ. Algebr. Comb.
Volume19
Number3
Pages297--313
PublisherSpringer US, New York, NY
Year2004
Edition0
Translation No
Refereed No
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