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 2024/04/24)

   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.