Patching over fields
Identifieur interne : 000347 ( Istex/Checkpoint ); précédent : 000346; suivant : 000348Patching over fields
Auteurs : David Harbater [États-Unis] ; Julia Hartmann [Allemagne]Source :
- Israel Journal of Mathematics [ 0021-2172 ] ; 2010-03-01.
Abstract
Abstract: We develop a new form of patching that is both far-reaching and more elementary than the previous versions that have been used in inverse Galois theory for function fields of curves. A key point of our approach is to work with fields and vector spaces, rather than rings and modules. After presenting a self-contained development of this form of patching, we obtain applications to other structures such as Brauer groups and differential modules.
Url:
DOI: 10.1007/s11856-010-0021-1
Affiliations:
- Allemagne, États-Unis
- District de Cologne, Pennsylvanie, Rhénanie-du-Nord-Westphalie
- Aix-la-Chapelle
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