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arXiv · 1512.07452

Height growth on semisimple groups

Anton Deitmar·Rupert McCallum
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Abstract

A condition is given, under which a general lattice point counting function is asymptotic to the corresponding ball volume growth function. This is then used to give height asymptotics in the style of the Batyrev-Manin Conjecture for certain intrinsically defined heights on semisimple groups.

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Anton Deitmar, Rupert McCallum. 2016-01-04. Height growth on semisimple groups. https://arxiv.org/abs/1512.07452

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