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arxiv: math/0604301 · v2 · submitted 2006-04-12 · 🧮 math.AC · math.CO

Resolutions of square-free monomial ideals via facet ideals: a survey

classification 🧮 math.AC math.CO
keywords monomialidealidealsresultssquare-freesurveycomplexcorrespond
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We survey some recent results on the minimal graded free resolution of a square-free monomial ideal. The theme uniting these results is the point-of-view that the generators of a monomial ideal correspond to the maximal faces (the facets) of a simplicial complex \Delta.

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