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
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

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