Elimination of ramification I: The generalized stability theorem

By Franz-Viktor Kuhlmann. 2010

46 citations recorded by the source corpus.

We prove a general version of the "Stability Theorem": if K is a valued field such that the ramification theoretical defect is trivial for all of its finite extensions, and if F|K is a finitely generated (transcendental) extension of valued fields for which equality holds in the Abhyankar inequality, then the defect is also trivial for all finite extensions of F. This theorem is applied to eliminate ramification in such valued function fields. It has applications to local uniformization and to the model theory of valued fields in positive characteristic.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/561c256be4d121c177b60cfb00fc8b675726db81

Citations in the corpus

• The algebra and model theory of tame valued fields (2013, unknown): “A C ] 1 4 Ju l 2 01 4”