A good leaf order on simplicial trees
Commutative Algebra
2013-07-12 v2
Abstract
Using the existence of a good leaf in every simplicial tree, we order the facets of a simplicial tree in order to find combinatorial information about the Betti numbers of its facet ideal. Applications include an Eliahou-Kervaire splitting of the ideal, as well as a refinement of a recursive formula of H\`a and Van Tuyl for computing the graded Betti numbers of simplicial trees.
Keywords
Cite
@article{arxiv.1307.2190,
title = {A good leaf order on simplicial trees},
author = {Sara Faridi},
journal= {arXiv preprint arXiv:1307.2190},
year = {2013}
}
Comments
17 pages, to appear; Connections Between Algebra and Geometry, Birkhauser volume (2013)