Cellular structure of the Pommaret-Seiler resolution for quasi-stable ideals
Commutative Algebra
2024-01-26 v1 Rings and Algebras
Abstract
We prove that the Pommaret-Seiler resolution for quasi-stable ideals is cellular and give a cellular structure for it. This shows that this resolution is a generalization of the well known Eliahou-Kervaire resolution for stable ideals in a deeper sense. We also prove that the Pommaret-Seiler resolution can be reduced to the minimal one via Discrete Morse Theory and provide a constructive algorithm to perform this reduction.
Keywords
Cite
@article{arxiv.2401.13788,
title = {Cellular structure of the Pommaret-Seiler resolution for quasi-stable ideals},
author = {Rodrigo Iglesias and Eduardo Sáenz-de-Cabezón},
journal= {arXiv preprint arXiv:2401.13788},
year = {2024}
}