Matching Witts locally and globally
Kazimierz Szymiczek (1991)
Mathematica Slovaca
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Kazimierz Szymiczek (1991)
Mathematica Slovaca
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Andrzej Sładek (1998)
Acta Mathematica et Informatica Universitatis Ostraviensis
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Craig Cordes, John Ramsey (1978)
Fundamenta Mathematicae
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Przemyslaw Koprowski (2002)
Colloquium Mathematicae
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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...