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Elimination of ramification I: The generalized stability theorem
Author(s):
Franz-Viktor
Kuhlmann
Abstract | References | Similar articles | Additional information
Abstract:
We prove a general version of the ``Stability Theorem'': if
Retrieve articles in Transactions of the American Mathematical Society with MSC (2010): 12J10, 13A18, 12L12, 14B05 Retrieve articles in all Journals with MSC (2010): 12J10, 13A18, 12L12, 14B05
Franz-Viktor
Kuhlmann
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is a valued field such that the ramification theoretical defect is trivial for all of its finite extensions, and if 
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 
. 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. 
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