|
Zapiski Nauchnykh Seminarov POMI, 2005, Volume 321, Pages 13–35
(Mi znsl406)
|
|
|
|
On semicontinuity of ramification
invariants in dimension 2
O. Yu. Vanushina Saint-Petersburg State University
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.
Received: 01.10.2004
Citation:
O. Yu. Vanushina, “On semicontinuity of ramification
invariants in dimension 2”, Problems in the theory of representations of algebras and groups. Part 12, Zap. Nauchn. Sem. POMI, 321, POMI, St. Petersburg, 2005, 13–35; J. Math. Sci. (N. Y.), 136:3 (2006), 3837–3849
Linking options:
https://www.mathnet.ru/eng/znsl406 https://www.mathnet.ru/eng/znsl/v321/p13
|
Statistics & downloads: |
Abstract page: | 141 | Full-text PDF : | 32 | References: | 16 |
|