Dr. Irene Ingeborg Bouw :

Pseudo-elliptic bundles, deformation data, and the reduction of Galois covers

Dissertation angenommen durch: Universität Duisburg-Essen, Campus Essen, Fachbereich Mathematik, 2005-11-18

BetreuerIn: Prof. Dr. Dr. h.c. Gerhard Frey , Universität Duisburg-Essen, Campus Essen, Fachbereich Mathematik, Institut für Experimentelle Mathematik

GutachterIn: Prof. Dr. Helene Esnault , Universität Duisburg-Essen, Campus Essen, Fachbereich Mathematik, AG Algebraische Geometrie
GutachterIn: Prof. Dr. Bas Edixhoven , Universiteit Leiden, Mathematisch Instituut

Schlüsselwörter in Englisch: accessary parameter problem, reduction of Galois covers

  
   
 Klassifikation     
    MSC Primary: 14H25
MSC Secondary: 14H60
Sachgruppe der DNB: 510 Mathematik
  
   
 Abstrakt     
   

Abstrakt in Englisch

We study a class of filtered flat vector bundles of rank two which we call pseudo-elliptic bundles. We construct pseudo-elliptic bundles starting from a deformation data defined over the function field of a curve defined over an algebraically closed field of positive characteristic. This leads us to study a variant of Dwork's accessary parameter problem. We give applications of our result to Galois theory.