Binomial ideals attached to finite collections of cells

2022/05/13 by Herzog, Jürgen, Hibi, Takayuki, Moradi, Somayeh · 1 citation
#Commutative Algebra (math.AC) #FOS: Mathematics #Primary 13F20 #Secondary 05E40

paper · doi:10.48550/arxiv.2205.06715

Abstract

We consider the ideal of inner 2-minors I_P of a finite set of cells P, which we call the cell ideal of P. A nice interpretation for the height of an unmixed ideal I_P, in terms of the number of cells of P is given. Moreover, the coordinate rings of cell ideals with isolated singularities are determined.

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• Recent Advances in the Theory of Polyomino Ideals

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