Please use this identifier to cite or link to this item:
doi:10.22028/D291-26510
Title: | Frobenius actions on the de Rham cohomology of Drinfeld modules |
Author(s): | Gekeler, Ernst-Ulrich |
Language: | English |
Year of Publication: | 2009 |
DDC notations: | 510 Mathematics |
Publikation type: | Other |
Abstract: | We study the action of endomorphisms of a Drinfeld A-module \phi on its de Rham cohomology H_{DR}(\phi,L) and related modules, in the case where \phi is defined over a field L of finite A-characteristic \mathfrak{p}. Among others, we find that the nilspace H_{0} of the total Frobenius Fr_{DR} on H_{DR}(\phi,L) \mathfrak{p} has dimension h = height of \phi. We define and study a pairing between the \mathfrak{p}-torsion _{\mathfrak{p}}\phi of \phi and H_{DR}(\phi,L), which becomes perfect after dividing out H_{0}. |
Link to this record: | urn:nbn:de:bsz:291-scidok-47606 hdl:20.500.11880/26566 http://dx.doi.org/10.22028/D291-26510 |
Series name: | Preprint / Fachrichtung Mathematik, Universität des Saarlandes |
Series volume: | 226 |
Date of registration: | 6-Jun-2013 |
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_226_09.pdf | 243,17 kB | Adobe PDF | View/Open |
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