Kunz, Ernst and Waldi, Rolf (2007) On certain birational invariants of the Fermat curves. JOURNAL OF PURE AND APPLIED ALGEBRA, 210 (1). pp. 63-80. ISSN 0022-4049, 1873-1376
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For an integer m > 3 let K-m = Q(x, y) (x(m) + y(m) = 1) be the m-th Fermat field over Q. We study, in the case of Fermat fields, the groups of integral differentials introduced by Kahler [E. Kahler, Geometria aritmetica, Annali di Mat. 45 (1958)] and Bost [R. Berndt, Arithmetisch ganze Differentiale, Abh. Math. Sem. Univ. Hamburg 47 (1978) 249-270] for arithmetic function fields and compute them for small m. An essential step of our considerations is the explicit description of the discrete valuation rings with quotient field Km which are essentially of finite type and smooth over Z. (c) 2006 Elsevier B.V. All rights reserved.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | FUNCTION-FIELDS; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Professoren und akademische Räte im Ruhestand > Prof. Dr. Rolf Waldi |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 09 Dec 2020 09:27 |
| Last Modified: | 09 Dec 2020 09:27 |
| URI: | https://pred.uni-regensburg.de/id/eprint/32562 |
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