Polynomial parametrization for the solutions of Diophantine equations and arithmetic groups
成果类型：
Article
署名作者：
Vaserstein, Leonid
刊物名称：
ANNALS OF MATHEMATICS
ISSN/ISSBN：
0003-486X
DOI：
10.4007/annals.2010.171.979
发表日期：
2010
页码：
979-1009
关键词：
摘要：
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.