Stanley-Reisner Ideals with Pure Resolutions
Commutative Algebra
2024-09-13 v2
Abstract
This paper investgates Stanley-Reisner ideals with pure resolutions. We first describe two infinite families of such ideals associated to highly symmetric complexes. We then prove a partial analogue to the first Boij-S\"oderberg Conjecture for Stanley-Reisner ideals, by detailing an algorithm for constructing Stanley-Reisner ideals with pure Betti diagrams of any given shape, save for an initial shift.
Cite
@article{arxiv.2409.05481,
title = {Stanley-Reisner Ideals with Pure Resolutions},
author = {David Carey and Mordechai Katzman},
journal= {arXiv preprint arXiv:2409.05481},
year = {2024}
}
Comments
55 pages