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Decompositions of Cellular Binomial Ideals

Published 31 Aug 2014 in math.AC, math.AG, and math.CO | (1409.0179v2)

Abstract: Without any restrictions on the base field, we compute the hull and prove a conjecture of Eisenbud and Sturmfels giving an unmixed decomposition of a cellular binomial ideal. Over an algebraically closed field, we further obtain an explicit (but not necessarily minimal) primary decomposition of such an ideal.

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