2010/09/15 by Ezra Miller, Miller, Ezra
Computer Science · Mathematics · #05A15 #11P21 #13F99 #20M14 #20M15 #20M25 #20M30 #33C70 #80A30 #91A05 #91A46 #92E20 #Advanced Mathematical Identities #Combinatorics (math.CO) #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #Computer Science and Game Theory (cs.GT) #Dynamical Systems (math.DS) #FOS: Computer and information sciences #FOS: Mathematics #Polynomial and algebraic computation #Primary: 05E40 #Secondary: 52B20 #cs.GT #math.AC #math.CO #math.DS #msc:05A15 #msc:05E40 #msc:11P21 #msc:13F99 #msc:20M14 #msc:20M15 #msc:20M25 #msc:20M30 #msc:33C70 #msc:52B20 #msc:80A30 #msc:91A05 #msc:91A46 #msc:92E20
paper · pdf · doi:10.48550/arxiv.1009.2823
57 pages, 31 figures; to appear in proceedings of 2009 Abel Symposium (Voss, Norway)
arxiv created 2010/09/15 · openalex publication_date 2010/09/15 · arxiv updated 2010/09/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This survey of methods surrounding lattice point methods for binomial ideals begins with a leisurely treatment of the geometric combinatorics of binomial primary decomposition. It then proceeds to three independent applications whose motivations come from outside of commutative algebra: hypergeometric systems, combinatorial game theory, and chemical dynamics. The exposition is aimed at students and researchers in algebra; it includes many examples, open problems, and elementary introductions to the motivations and background from outside of algebra.