Structural decomposition of monomial resolutions
Commutative Algebra
2017-06-21 v1
Abstract
We express the multigraded Betti numbers of an arbitrary monomial ideal in terms of the multigraded Betti numbers of two basic classes of ideals. This decompo- sition has multiple applications. In some concrete cases, we use it to construct minimal resolutions of classes of monomial ideals; in other cases, we use it to compute projective dimensions. To illustrate the effectiveness of the structural decomposition, we give a new proof of a classic theorem by Charalambous.
Cite
@article{arxiv.1706.06572,
title = {Structural decomposition of monomial resolutions},
author = {Guillermo Alesandroni},
journal= {arXiv preprint arXiv:1706.06572},
year = {2017}
}