Multivariable polynomial injections on rational numbers

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Abstract
For each number field k, the Bombieri-Lang conjecture for k-rational points on surfaces of general type implies the existence of a polynomial f(x, y) [element of] k[x, y] inducing an injection k x k-->k.
Date issued
2010-12
URI
http://hdl.handle.net/1721.1/71659
Department
Massachusetts Institute of Technology. Department of Mathematics
Journal
Acta Arithmetica
Publisher
Institute of Mathematics, Polish Academy of Sciences
Citation
Poonen, Bjorn. “Multivariable Polynomial Injections on Rational Numbers.” Acta Arithmetica 145.2 (2010): 123–127. Web.
Version: Author's final manuscript
ISSN
0065-1036
1730-6264
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