Rund forms over real algebraic function fields in one variable
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- by Richard Elman PDF
- Proc. Amer. Math. Soc. 41 (1973), 431-436 Request permission
Abstract:
The isometry types of rund quadratic forms over an arbitrary real algebraic function field in one variable are completely determined.References
- Jón Kristinn Arason and Albrecht Pfister, Beweis des Krullschen Durchschnittsatzes für den Wittring, Invent. Math. 12 (1971), 173–176 (German). MR 294251, DOI 10.1007/BF01404657 R. Elman, Pfister forms and $K$-theory of fields, Thesis, University of California, Berkeley, Calif., 1972.
- Richard Elman and Tsit Yuen Lam, Quadratic forms and the $u$-invariant. I, Math. Z. 131 (1973), 283–304. MR 323716, DOI 10.1007/BF01174904
- J. S. Hsia and Robert P. Johnson, Round and group quadratic forms over global fields, J. Number Theory 5 (1973), 356–366. MR 323717, DOI 10.1016/0022-314X(73)90036-X —, Round and Pfister forms over $R(t)$ (preprint).
- Winfried Scharlau, Quadratic forms, Queen’s Papers in Pure and Applied Mathematics, No. 22, Queen’s University, Kingston, Ont., 1969. MR 0269679
Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 41 (1973), 431-436
- MSC: Primary 10C05; Secondary 12A90
- DOI: https://doi.org/10.1090/S0002-9939-1973-0323718-1
- MathSciNet review: 0323718