The Zariski problem for function fields of quadratic forms
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- by Jack Ohm
- Proc. Amer. Math. Soc. 124 (1996), 1679-1685
- DOI: https://doi.org/10.1090/S0002-9939-96-03238-8
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Abstract:
By ‘a quadratic function field’ is meant the affine function field of a nonsingular quadratic form of dimension $> 2$. What quadratic function fields contain a given quadratic function field $k(P)$? This problem is solved here for quadratic forms $P$ of dimensions 3 and 4, and an application to the Zariski cancellation problem for quadratic function fields is given.References
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Bibliographic Information
- Jack Ohm
- Affiliation: Department of Mathematics, Louisiana State University, Baton Rouge, Louisiana 70803
- Email: mmohm@lsuvax.sncc.lsu.edu
- Received by editor(s): February 14, 1994
- Received by editor(s) in revised form: December 9, 1994
- Communicated by: Lance W. Small
- © Copyright 1996 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 124 (1996), 1679-1685
- MSC (1991): Primary 11E04, 11E81, 12F20
- DOI: https://doi.org/10.1090/S0002-9939-96-03238-8
- MathSciNet review: 1307553