Abstract
We consider a cyclic extension L/K of degree 2n of the field K = k[[T,U]] of characteristic 2. It is shown that for all sufficiently large N, the jets of order N of all curves which are not components of the ramification locus and for which the corresponding valuation of the function field has a unique extension, the valuations of the coefficients of the Inaba equation are positive, and the ramification jumps are maximal, is an open set. In the case of a general (not cyclic) extension, it is shown that the set of jets with a fixed value of the kth jump is the intersection of an open and a closed set. Bibliography: 4 titles.
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