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We construct an Eliahou–Kervaire-like minimal free resolution of the alternative polarization $\operatorname{\mathsf{b-pol}}(I)$ of a Borel fixed ideal I. It yields new descriptions of the minimal free resolutions of I itself and I sq , where (−) sq is the squarefree operation in the shifting theory. These resolutions are cellular, and the (common) supporting cell complex is given by discrete...
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