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Theory and applications of lattice point methods for binomial ideals

Publication ,  Conference
Miller, E
Published in: Combinatorial Aspects of Commutative Algebra and Algebraic Geometry the Abel Symposium 2009
December 1, 2011

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.

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Published In

Combinatorial Aspects of Commutative Algebra and Algebraic Geometry the Abel Symposium 2009

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Publication Date

December 1, 2011

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99 / 154
 

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Miller, E. (2011). Theory and applications of lattice point methods for binomial ideals. In Combinatorial Aspects of Commutative Algebra and Algebraic Geometry the Abel Symposium 2009 (pp. 99–154). https://doi.org/10.1007/978-3-642-19492-4_8
Miller, E. “Theory and applications of lattice point methods for binomial ideals.” In Combinatorial Aspects of Commutative Algebra and Algebraic Geometry the Abel Symposium 2009, 99–154, 2011. https://doi.org/10.1007/978-3-642-19492-4_8.
Miller E. Theory and applications of lattice point methods for binomial ideals. In: Combinatorial Aspects of Commutative Algebra and Algebraic Geometry the Abel Symposium 2009. 2011. p. 99–154.
Miller, E. “Theory and applications of lattice point methods for binomial ideals.” Combinatorial Aspects of Commutative Algebra and Algebraic Geometry the Abel Symposium 2009, 2011, pp. 99–154. Scopus, doi:10.1007/978-3-642-19492-4_8.
Miller E. Theory and applications of lattice point methods for binomial ideals. Combinatorial Aspects of Commutative Algebra and Algebraic Geometry the Abel Symposium 2009. 2011. p. 99–154.

Published In

Combinatorial Aspects of Commutative Algebra and Algebraic Geometry the Abel Symposium 2009

DOI

Publication Date

December 1, 2011

Start / End Page

99 / 154