Multivariable polynomial injections on rational numbers

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.

arXiv comment4 pages

Cited by in corpus (2)

• Failure of the Brauer-Manin principle for a simply connected fourfold over a global function field, via orbifold Mordell
• Existential rank and essential dimension of diophantine sets