Values of decomposable forms at S-integer points and tori orbits on homogeneous spaces

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dc.creatorTomanov, George
dc.date2005-07-29
dc.date.accessioned2026-07-07T05:22:07Z
dc.date.available2026-07-07T05:22:07Z
dc.descriptionWe 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.
dc.description26 pages
dc.identifierhttps://arxiv.org/abs/math/0507613
dc.identifierhttp://arxiv.org/abs/math/0507613
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75937
dc.subjectNumber Theory
dc.subjectDynamical Systems
dc.subject11J17; 37D40
dc.titleValues of decomposable forms at S-integer points and tori orbits on homogeneous spaces
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