Publications [#243892] of Ezra Miller

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Peer-reviewed journal articles published

1. Miller, E. "Theory and applications of lattice point methods for binomial ideals." Combinatorial Aspects of Commutative Algebra and Algebraic Geometry the Abel Symposium 2009Combinatorial aspects of commutative algebra and algebraic geometry, Proceedings of Abel Symposium held at Voss, Norway, 1--4 June 2009 Abel Symposia 6 (December, 2011): 99-154. [math.AC/1009.2823], [Gateway.cgi], [doi]
   (last updated on 2025/06/14)

   Abstract:
   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. © Springer-Verlag Berlin Heidelberg 2011.