Math @ Duke

Publications [#303557] of Ezra Miller
Papers Accepted
 Kahle, T; Miller, E; O’Neill, C, Irreducible decomposition of binomial ideals,
Compositio Mathematica, vol. 152 no. 06
(June, 2016),
pp. 13191332 [arXiv:1503.02607], [1503.02607], [doi]
(last updated on 2018/03/21)
Abstract: Building on coprincipal mesoprimary decomposition [Kahle and Miller,
2014], we combinatorially construct an irreducible decomposition of
any given binomial ideal. In a parallel manner, for congruences in
commutative monoids we construct decompositions that are direct
combinatorial analogues of binomial irreducible decompositions, and
for binomial ideals we construct decompositions into ideals that are
as irreducible as possible while remaining binomial. We provide an
example of a binomial ideal that is not an intersection of irreducible binomial ideals, thus answering a question of Eisenbud and
Sturmfels [1996].


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