Ten problems on quadratic forms
Kazimierz Szymiczek (2002)
Acta Mathematica et Informatica Universitatis Ostraviensis
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Displaying similar documents to “Matching Witts locally and globally”
Ten problems on quadratic forms
On integral Witt equivalence of algebraic number fields
Alfred Czogała (1996)
Acta Mathematica et Informatica Universitatis Ostraviensis
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Higher degree Harrison equivalence and Milnor -functor
Andrzej Sładek (1998)
Acta Mathematica et Informatica Universitatis Ostraviensis
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On existence of tame Harrison map
Przemysław Koprowski (2007)
Mathematica Slovaca
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Local-global principle for Witt equivalence of function fields over global fields
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...
Matching local Witt invariants
Przemysław Koprowski (2005)
Acta Mathematica Universitatis Ostraviensis
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The starting point of this note is the observation that the local condition used in the notion of a Hilbert-symbol equivalence and a quaternion-symbol equivalence — once it is expressed in terms of the Witt invariant — admits a natural generalisation. In this paper we show that for global function fields as well as the formally real function fields over a real closed field all the resulting equivalences coincide.