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