English

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

Commutative Algebra 2007-06-13 v2 Combinatorics

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 \Delta.

Keywords

Cite

@article{arxiv.math/0604301,
  title  = {Resolutions of square-free monomial ideals via facet ideals: a survey},
  author = {Huy Tai Ha and Adam Van Tuyl},
  journal= {arXiv preprint arXiv:math/0604301},
  year   = {2007}
}

Comments

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