Celikbas, Ela, Dufresne, Emilie orcid.org/0000-0001-9290-7037, Fouli, Louiza et al. (4 more authors) (2024) Rees algebras of sparse determinantal ideals. Transactions of the American Mathematical Society. pp. 2317-2333. ISSN: 1088-6850
Abstract
We determine the defining equations of the Rees algebra and of the special fiber ring of the ideal of maximal minors of a $2\times n$ sparse matrix. We prove that their initial algebras are ladder determinantal rings. This allows us to show that the Rees algebra and the special fiber ring are Cohen-Macaulay domains, they are Koszul, they have rational singularities in characteristic zero and are F-rational in positive characteristic.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2024 American Mathematical Society. This is an author-produced version of the published paper. Uploaded in accordance with the publisher’s self-archiving policy. Further copying may not be permitted; contact the publisher for details. |
Keywords: | math.AC,Primary 13A30, 13C40, Secondary 14M12, 13P10, 05E40, 13F50 |
Dates: |
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Institution: | The University of York |
Academic Units: | The University of York > Faculty of Sciences (York) > Mathematics (York) |
Depositing User: | Pure (York) |
Date Deposited: | 29 Nov 2023 08:40 |
Last Modified: | 25 Jul 2025 17:38 |
Published Version: | https://doi.org/10.1090/tran/9101 |
Status: | Published |
Refereed: | Yes |
Identification Number: | 10.1090/tran/9101 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:179409 |