Multivariable polynomial injections on rational numbers
Number Theory
2017-04-03 v2 Algebraic Geometry
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.
Cite
@article{arxiv.0902.3961,
title = {Multivariable polynomial injections on rational numbers},
author = {Bjorn Poonen},
journal= {arXiv preprint arXiv:0902.3961},
year = {2017}
}
Comments
4 pages