%0 Journal Article
%T Values of decomposable forms at S-integer points and tori orbits on homogeneous spaces
%A George Tomanov
%J Mathematics
%D 2005
%I arXiv
%X 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.
%U http://arxiv.org/abs/math/0507613v1