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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
References:
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
English version:
Journal of Mathematical Sciences (New York), 2006, Volume 136, Issue 3, Pages 3837–3849
DOI: https://doi.org/10.1007/s10958-006-0205-8
Bibliographic databases:
UDC: 512
Language: Russian
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
Citation in format AMSBIB
\Bibitem{Van05}
\by O.~Yu.~Vanushina
\paper On semicontinuity of ramification
invariants in dimension~2
\inbook Problems in the theory of representations of algebras and groups. Part~12
\serial Zap. Nauchn. Sem. POMI
\yr 2005
\vol 321
\pages 13--35
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl406}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2138410}
\zmath{https://zbmath.org/?q=an:1068.11074}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2006
\vol 136
\issue 3
\pages 3837--3849
\crossref{https://doi.org/10.1007/s10958-006-0205-8}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33744784019}
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  • https://www.mathnet.ru/eng/znsl/v321/p13
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