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arxiv: 1409.0179 · v2 · pith:UDL6KSNCnew · submitted 2014-08-31 · 🧮 math.AC · math.AG· math.CO

Decompositions of Cellular Binomial Ideals

classification 🧮 math.AC math.AGmath.CO
keywords binomialcellulardecompositionfieldidealalgebraicallybaseclosed
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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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