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The Zariski problem for function fields of quadratic forms |
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| Authors: | Jack Ohm |
| Affiliation: | Department of Mathematics, Louisiana State University, Baton Rouge, Louisiana 70803 |
| 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. |
| Keywords: | Quadratic form function field Zariski problem |
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