paper

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

arXiv:math/0604301

Abstract

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 Δ.

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