Dummigan, N. and Farwa, S. (2014) Exact holomorphic differentials on a quotient of the Ree curve. Journal of Algebra, 400. pp. 249-272. ISSN 0021-8693
Abstract
We produce several families of exact holomorphic differentials on a quotient X of the Ree curve in characteristic 3, defined by X:yq-y=xq0(xq-x)/Fq (where q0 = 3s, s ≥ 1 and q=3q02). We conjecture that they span the whole space of exact holomorphic differentials, and prove this in the cases s = 1 and s = 2, by calculating the kernel of the Cartier operator.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2013 Elsevier. This is an author produced version of a paper subsequently published in Journal of Algebra. Uploaded in accordance with the publisher's self-archiving policy. Article available under the terms of the CC-BY-NC-ND licence (https://creativecommons.org/licenses/by-nc-nd/4.0/) |
Keywords: | Cartier operator; Ree curve; a-Number |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematics and Statistics (Sheffield) |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 25 Jan 2017 12:41 |
Last Modified: | 03 Apr 2018 05:00 |
Published Version: | https://doi.org/10.1016/j.jalgebra.2013.11.016 |
Status: | Published |
Publisher: | Elsevier |
Refereed: | Yes |
Identification Number: | 10.1016/j.jalgebra.2013.11.016 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:110213 |