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Displays and gauges

Wid, Marcel (2012) Displays and gauges. PhD, Universität Regensburg.

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Date of publication of this fulltext: 30 Jul 2012 07:26

Abstract (English)

We introduce the notion of an F-gauge and show, how these objects are connected to F-zips and displays. After establishing these relationships, we define the syntomic sheaves Oncris and prove, that these sheaves are flat over the truncated ring of Witt vectors W_n with coefficients in a perfect field of positive characteristic. This enables us to define a sheaf of rings on the small syntomic site ...


Translation of the abstract (German)

Wir definieren F-gauges und zeigen, wie diese Objekte mit F-zips und Display zusammenhängen. Nachdem wir diesen Zuammenhang geklärt haben, führen wir die syntomischen Garben Oncris ein und zeigen, dass sie flach über dem abgeschnitten Ring der Wittvektoren mit Koeffizienten in einem perfekten Körper positiver Charakteristik sind. Das ermöglicht es uns, eine Ringgarbe auf dem kleinen syntomischen ...


Export bibliographical data

Item type:Thesis of the University of Regensburg (PhD)
Date:30 July 2012
Referee:Prof. Dr. Uwe Jannsen and Prof. Dr. Guido Kings
Date of exam:24 July 2012
Institutions:Mathematics > Prof. Dr. Uwe Jannsen
Keywords:displays, gauges, F-zips, crystalline cohomology, syntomic site, Witt vectors
Dewey Decimal Classification:500 Science > 510 Mathematics
Refereed:Yes, this version has been refereed
Created at the University of Regensburg:Yes
Item ID:25489
Owner only: item control page


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