Rational Points of Bounded Height on Compactifications of Anisotropic Tori

Mathematics – Algebraic Geometry

Scientific paper

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45 pages, Latex

Scientific paper

We investigate the analytic properties of the zeta-function associated with
heights on equivariant compactifications of anisotropic tori over number
fields. This allows to verify conjectures about the distribution of rational
points of bounded height.

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