The Zariski problem for function fields of quadratic forms
Author:
Jack Ohm
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
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Abstract | References | Similar Articles | Additional Information
Abstract: By `a quadratic function field' is meant the affine function field of a nonsingular quadratic form of dimension . What quadratic function fields contain a given quadratic function field
? This problem is solved here for quadratic forms
of dimensions 3 and 4, and an application to the Zariski cancellation problem for quadratic function fields is given.
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Additional Information
Jack Ohm
Affiliation:
Department of Mathematics, Louisiana State University, Baton Rouge, Louisiana 70803
Email:
mmohm@lsuvax.sncc.lsu.edu
DOI:
https://doi.org/10.1090/S0002-9939-96-03238-8
Keywords:
Quadratic form,
function field,
Zariski problem
Received by editor(s):
February 14, 1994
Received by editor(s) in revised form:
December 9, 1994
Communicated by:
Lance W. Small
Article copyright:
© Copyright 1996
American Mathematical Society