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Nontrivial rational polynomials in two variables have reducible fibres

Published online by Cambridge University Press:  17 April 2009

Walter D. Neumann  and
Paul Norbury
Walter D. Neumann
Affiliation:
Department of Mathematics, The University of Melbourne, Parkville, Vic 3052, Australia e-mail: [email protected]
Paul Norbury
Affiliation:
Department of Mathematics, The University of Melbourne, Parkville, Vic 3052, Australia e-mail: [email protected]
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Abstract

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We show that every f: ℂ2 → ℂ which is a rational polynomial map with irreducible fibres is a coordinate.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 58 , Issue 3 , December 1998 , pp. 501 - 503
Copyright
Copyright © Australian Mathematical Society 1998

References

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