Values of decomposable forms at S-integer points and tori orbits on homogeneous spacesReport as inadecuate



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


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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.



Author: George Tomanov

Source: https://archive.org/







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