Local-global principle for Witt equivalence of function fields over global fields

• Autorzy: Przemyslaw Koprowski
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 11G30: Curves of arbitrary genus or genus ≠ 1 over global fields
• 11E81: Algebraic theory of quadratic forms; Witt groups and rings
• 14H05: Algebraic functions; function fields

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2002
• Tom: 91
• Numer: 2
• Strony: 293-302

Daty

wydano

2002

Twórcy

autor

Przemyslaw Koprowski

• Institute of Mathematics, Silesian University, 40-007 Katowice, Poland

Identyfikatory

DOI

10.4064/cm91-2-8