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arXiv · 0710.3244

Cellular resolutions of Cohen-Macaulay monomial quotient rings

Gunnar Floystad
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Abstract

We investigate monomial labellings on cell complexes, giving a minimal cellular resolution of the ideal generated by these monomials, and such that the associated quotient ring is Cohen-Macaulay. We introduce a notion of such a labelling being maximal. There is only a finite number of maximal labellings for each cell complex, and we classify these for trees, partly for subdivisions of polygons, and for some classes of selfdual polytopes.

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Gunnar Floystad. 2007-10-17. Cellular resolutions of Cohen-Macaulay monomial quotient rings. https://doi.org/10.1216/jca-2009-1-1-57

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