On the density of S-adic integers near some projective G-varieties
Number Theory
2019-04-25 v1
Abstract
We provide some general conditions which ensure that a system of inequalities involving homogeneous polynomials with coefficients in a S-adic field has nontrivial S-integral solutions. The proofs are based on the strong approximation property for Zariski-dense subgroups and adelic geometry of numbers. We give two examples of applications for systems involving quadratic and linear forms.
Keywords
Cite
@article{arxiv.1904.10609,
title = {On the density of S-adic integers near some projective G-varieties},
author = {Youssef Lazar},
journal= {arXiv preprint arXiv:1904.10609},
year = {2019}
}
Comments
20 pages