Mathematics – Commutative Algebra
Scientific paper
2010-09-15
Mathematics
Commutative Algebra
57 pages, 31 figures; to appear in proceedings of 2009 Abel Symposium (Voss, Norway)
Scientific paper
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.
Miller Ezra
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