On arithmetic families of filtered φ-modules and crystalline representations
On arithmetic families of filtered φ-modules and crystalline representations
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DissertationPrüfungsdatum
21.04.2011Datum der Veröffentlichung
10.05.2011Erstgutachter
Rapoport, MichaelZweitgutachter
Faltings, GerdMetadaten
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Inhalt
We consider stacks of filtered phi-modules over rigid analytic and adic spaces. We show that these modules parametrize p-adic Galois representations of the absolute Galois group of a p-adic field with varying coefficients over an open substack containing all classical points. Further we study a period morphism (defined by Pappas and Rapoport) from a stack parametrizing integral data and determine the image of this morphism.
Klassifikation (DDC)
510 MathematikHellmann, Eugen: On arithmetic families of filtered φ-modules and crystalline representations. - Bonn, 2011. - Dissertation, Rheinische Friedrich-Wilhelms-Universität Bonn.
Online-Ausgabe in bonndoc: https://nbn-resolving.org/urn:nbn:de:hbz:5N-25129
Online-Ausgabe in bonndoc: https://nbn-resolving.org/urn:nbn:de:hbz:5N-25129
@phdthesis{handle:20.500.11811/4974,
urn: https://nbn-resolving.org/urn:nbn:de:hbz:5N-25129,
author = {{Eugen Hellmann}},
title = {On arithmetic families of filtered φ-modules and crystalline representations},
school = {Rheinische Friedrich-Wilhelms-Universität Bonn},
year = 2011,
month = may,
note = {We consider stacks of filtered phi-modules over rigid analytic and adic spaces. We show that these modules parametrize p-adic Galois representations of the absolute Galois group of a p-adic field with varying coefficients over an open substack containing all classical points. Further we study a period morphism (defined by Pappas and Rapoport) from a stack parametrizing integral data and determine the image of this morphism.},
url = {https://hdl.handle.net/20.500.11811/4974}
}
urn: https://nbn-resolving.org/urn:nbn:de:hbz:5N-25129,
author = {{Eugen Hellmann}},
title = {On arithmetic families of filtered φ-modules and crystalline representations},
school = {Rheinische Friedrich-Wilhelms-Universität Bonn},
year = 2011,
month = may,
note = {We consider stacks of filtered phi-modules over rigid analytic and adic spaces. We show that these modules parametrize p-adic Galois representations of the absolute Galois group of a p-adic field with varying coefficients over an open substack containing all classical points. Further we study a period morphism (defined by Pappas and Rapoport) from a stack parametrizing integral data and determine the image of this morphism.},
url = {https://hdl.handle.net/20.500.11811/4974}
}
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