Displaying similar documents to “Ten problems on quadratic forms”

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...