2001/05/04 by Serkan Hosten, Serkan Hoşten, Hosten, Serkan +4 · 1 citation
Computer Science · Mathematics · #13P10 #52B20 #90C10 #Algebraic Geometry and Number Theory #Combinatorics (math.CO) #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation #math.AC #math.CO #msc:13P10 #msc:52B20 #msc:90C10
paper · pdf · doi:10.48550/arxiv.math/0105036
18 pages, 2 figures
arxiv created 2001/05/04 · openalex publication_date 2001/05/04 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.