Resolutions of facet ideals
| dc.creator | Zheng, Xinxian | |
| dc.date | 2003-07-17 | |
| dc.date.accessioned | 2026-07-07T04:59:44Z | |
| dc.date.available | 2026-07-07T04:59:44Z | |
| dc.description | In this paper we study the resolution of a facet ideal associated with a special class of simplicial complexes introduced by S. Faridi. These simplicial complexes are called trees, and are a generalization (to higher dimensions) of the concept of a tree in graph theory. We show that the Koszul homology of the facet ideal I of a tree is generated by the homology classes of monomial cycles, determine the projective dimension and the regularity of I if the tree is 1-dimensional, show that the graded Betti numbers of I satisfy an alternating sum property if the tree is connected in codimension 1, and classify all trees whose facet ideal has a linear resolution. | |
| dc.description | 22 pages | |
| dc.identifier | https://arxiv.org/abs/math/0307241 | |
| dc.identifier | http://arxiv.org/abs/math/0307241 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68104 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13F55; 13D02; 13A02 | |
| dc.title | Resolutions of facet ideals | |
| dc.type | text |