Integral Points for Groups of Multiplicative Type
Number Theory
2012-08-21 v2
Abstract
We construct a finite subgroup of Brauer-Manin obstruction for detecting the existence of integral points on integral models of homogeneous spaces of linear algebraic groups of multiplicative type. As application, the strong approximation theorem for linear algebraic groups of multiplicative type is established. Moreover, the sum of two integral squares over some quadratic fields is discussed.
Cite
@article{arxiv.1004.2613,
title = {Integral Points for Groups of Multiplicative Type},
author = {Dasheng Wei and Fei Xu},
journal= {arXiv preprint arXiv:1004.2613},
year = {2012}
}
Comments
18 pages,Advances in Mathematics (to appear)