Values of decomposable forms at S-integer points and tori orbits on homogeneous spaces
Number Theory
2007-05-23 v1 Dynamical Systems
Abstract
We classify the closed orbits under the action of maximal tori on the S-adic homogeneous spaces. As an application, we prove that if the set of values at the integer points of any homogeneous non-degenerate split form is discrete, then the form is multiple of a form with rational coefficients. Our result is related to the notable Littlewood conjecture.
Cite
@article{arxiv.math/0507613,
title = {Values of decomposable forms at S-integer points and tori orbits on homogeneous spaces},
author = {George Tomanov},
journal= {arXiv preprint arXiv:math/0507613},
year = {2007}
}
Comments
26 pages