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Complete intersections in toric ideals

Eduardo Cattani·Raymond Curran·Alicia Dickenstein
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Abstract

We present examples which show that in dimension higher than one or codimension higher than two, there exist toric ideals I_A such that no binomial ideal contained in I_A and of the same dimension is a complete intersection. This result has important implications in sparse elimination theory and in the study of the Horn system of partial differential equations.

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Eduardo Cattani, Raymond Curran, Alicia Dickenstein. 2005-08-21. Complete intersections in toric ideals. https://arxiv.org/abs/math/0508400

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