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arxiv: 0902.3961 · v2 · pith:EVBFPVUDnew · submitted 2009-02-23 · 🧮 math.NT · math.AG

Multivariable polynomial injections on rational numbers

classification 🧮 math.NT math.AG
keywords polynomialbombieri-langconjectureexistencefieldgeneralimpliesinducing
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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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