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On continuous K-theory and cohomology of rigid spaces

Dahlhausen, Christian (2019) On continuous K-theory and cohomology of rigid spaces. PhD, Universität Regensburg.

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Date of publication of this fulltext: 09 Sep 2019 07:27

Abstract (English)

This thesis establishes a connection between continuous K-theory on the one hand and cohomology of rigid spaces on the other hand. Given an rigid analytic space over a complete discretely valued field, its continuous K-groups vanish in degrees below the negative of the dimension. Likewise, the cohomology groups vanish in degrees above the dimension. The main result of this thesis provides ...

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Translation of the abstract (German)

In dieser Dissertation wird ein Zusammenhang zwischen stetiger K-Theorie auf der einen und der Kohomologie rigider Räume auf der anderen Seite etabliert. Für einen starr-analytischen Raum endlicher Dimension über einem vollständigen diskret bewerteten Körper verschwindet dessen stetige K-Theorie stets in den Graden unterhalb des Negativen der Dimension. Ebenfalls verschwinden stets die ...

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Export bibliographical data



Item type:Thesis of the University of Regensburg (PhD)
Date:9 September 2019
Referee:Prof. Dr. Moritz Kerz
Date of exam:25 July 2019
Institutions:Mathematics > Prof. Dr. Moritz Kerz
Keywords:K-theory, Nonarchimedean Geometry, Zariski-Riemann spaces
Dewey Decimal Classification:500 Science > 510 Mathematics
Status:Published
Refereed:Yes, this version has been refereed
Created at the University of Regensburg:Yes
Item ID:40692
Owner only: item control page

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