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arXiv · 0902.3961

Multivariable polynomial injections on rational numbers

Bjorn Poonen
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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) in k[x,y] inducing an injection k x k --> k.

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Bjorn Poonen. 2010-06-06. Multivariable polynomial injections on rational numbers. https://doi.org/10.4064/aa145-2-2

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