Carey, D. and Katzman, M. orcid.org/0000-0001-7553-3520 (2027) Stanley-Reisner ideals with pure resolutions. Journal of Algebra, 713. pp. 534-591. ISSN: 0021-8693
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-Söderberg 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.
Metadata
| Item Type: | Article |
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| Authors/Creators: |
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| Copyright, Publisher and Additional Information: | © 2026 The Authors. Except as otherwise noted, this author-accepted version of a journal article published in Journal of Algebra is made available via the University of Sheffield Research Publications and Copyright Policy under the terms of the Creative Commons Attribution 4.0 International License (CC-BY 4.0), which permits unrestricted use, distribution and reproduction in any medium, provided the original work is properly cited. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ |
| Keywords: | simplicial complexes; Stanley-Reisner ideals; pure resolutions; Betti numbers |
| Dates: |
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| Institution: | The University of Sheffield |
| Academic Units: | The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematical and Physical Sciences |
| Date Deposited: | 04 Sep 2026 10:57 |
| Last Modified: | 10 Sep 2026 08:30 |
| Status: | Published |
| Publisher: | Elsevier |
| Refereed: | Yes |
| Identification Number: | 10.1016/j.jalgebra.2026.07.036 |
| Related URLs: | |
| Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:244935 |
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Filename: 2409.05481v3.pdf
Licence: CC-BY 4.0

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