Geodesic
Local-global principle for Witt equivalence of function fields over global fields
Przemyslaw Koprowski1
1 Institute of Mathematics Silesian University 40-007 Katowice, Poland
Colloquium Mathematicum, Tome 91 (2002) no. 2, pp. 293-302 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

We examine the conditions for two algebraic function fields over global fields to be Witt equivalent. We develop a criterion solving the problem which is analogous to the local-global principle for Witt equivalence of global fields obtained by R. Perlis, K. Szymiczek, P. E. Conner and R. Litherland [12]. Subsequently, we derive some immediate consequences of this result. In particular we show that Witt equivalence of algebraic function fields (that have rational places) over global fields implies Witt equivalence of their fields of constants. We also discuss the converse of this implication.
DOI : 10.4064/cm91-2-8
Keywords: examine conditions algebraic function fields global fields witt equivalent develop criterion solving problem which analogous local global principle witt equivalence global fields obtained perlis szymiczek conner litherland subsequently derive immediate consequences result particular witt equivalence algebraic function fields have rational places global fields implies witt equivalence their fields constants discuss converse implication

Przemyslaw Koprowski 1

1 Institute of Mathematics Silesian University 40-007 Katowice, Poland 
@article{10_4064_cm91_2_8,
     author = {Przemyslaw Koprowski},
     title = {Local-global principle for {Witt} equivalence
of function fields over global fields},
     journal = {Colloquium Mathematicum},
     pages = {293--302},
     year = {2002},
     volume = {91},
     number = {2},
     doi = {10.4064/cm91-2-8},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/cm91-2-8/}
}
TY  - JOUR
AU  - Przemyslaw Koprowski
TI  - Local-global principle for Witt equivalence
of function fields over global fields
JO  - Colloquium Mathematicum
PY  - 2002
SP  - 293
EP  - 302
VL  - 91
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4064/cm91-2-8/
DO  - 10.4064/cm91-2-8
LA  - en
ID  - 10_4064_cm91_2_8
ER  - 
%0 Journal Article
%A Przemyslaw Koprowski
%T Local-global principle for Witt equivalence
of function fields over global fields
%J Colloquium Mathematicum
%D 2002
%P 293-302
%V 91
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4064/cm91-2-8/
%R 10.4064/cm91-2-8
%G en
%F 10_4064_cm91_2_8
Przemyslaw Koprowski. Local-global principle for Witt equivalence
of function fields over global fields. Colloquium Mathematicum, Tome 91 (2002) no. 2, pp. 293-302. doi: 10.4064/cm91-2-8

Cité par Sources :