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

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

2006-04-12

arxiv.org/abs/math/0604301v2

Mathematics

Commutative Algebra

26 pages; revised final version to appear in Contemporary Math; updated references

Scientific paper

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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