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CW-resolutions of monomial ideals that are supported on face posets

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arxiv 1605.01985 v1 pith:A4KMOOGI submitted 2016-05-06 math.AC math.CO

Daniel Wood This is my paper
classification math.ACmath.CO
keywords mathcalcw-complexfacemonomialsupportedsupportscharacteristicclark
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abstract

Given a monomial ideal $I$ with minimal free resolution $\mathcal{F}$ supported in characteristic $p>0$ on a CW-complex $X$ with regular $2$-skeleton, we construct a CW-complex $Y$ that also supports~$\mathcal{F}$ and such that the face poset $P(Y)$ also supports $\mathcal{F}$ in the sense of Clark and Tchernev.

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