Please use this identifier to cite or link to this item:
doi:10.22028/D291-26165
Title: | Invariants of some algebraic curves related to Drinfeld modular curves |
Author(s): | Gekeler, Ernst-Ulrich |
Language: | English |
Year of Publication: | 2000 |
DDC notations: | 510 Mathematics |
Publikation type: | Other |
Abstract: | We collect some facts abaut Drinfeld modular curves for a polynomial ring \mathbb{F}_{q}[T] over a finite field \mathbb{F}_{q}. These include formulas for the genera, the numbers of cusps and elliptic points, descriptions of the function fields and fields of definition, and other rationality properties. We then show that any series of Drinfeld modular curves of Hecke type X_{0}(N_{k}), where N_{k}\in\mathbb{F}_{q}[T] is coprime with T and \mbox{deg}(N_{k})\longrightarrow\infty, gives rise to an asymptotically optimal series of curves over \mathbb{F}_{q^{2}}. |
Link to this record: | urn:nbn:de:bsz:291-scidok-42964 hdl:20.500.11880/26221 http://dx.doi.org/10.22028/D291-26165 |
Series name: | Preprint / Fachrichtung Mathematik, Universität des Saarlandes |
Series volume: | 14 |
Date of registration: | 4-Nov-2011 |
Faculty: | MI - Fakultät für Mathematik und Informatik |
Department: | MI - Mathematik |
Collections: | SciDok - Der Wissenschaftsserver der Universität des Saarlandes |
Files for this record:
File | Description | Size | Format | |
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preprint_14_00.pdf | 256,29 kB | Adobe PDF | View/Open |
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