Polynomial parametrization  for the solutions of Diophantine equations  and arithmetic groups

Leonid Vaserstein

doi:http://doi.org/10.4007/annals.2010.171.979

Abstract

A polynomial parametrization for the group of integer two-by-two matrices with determinant one is given, solving an old open problem of Skolem and Beurkers. It follows that, for many Diophantine equations, the integer solutions and the primitive solutions admit polynomial parametrizations.

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Polynomial parametrization for the solutions of Diophantine equations and arithmetic groups

Abstract

Authors