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Rational points on compactifications of semi-simple algebraic groups

Joseph A. Shalika·Ramin Takloo-Bighash·Yuri Tschinkel
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Abstract

We prove Manin's conjecture concerning the distribution of rational points of bounded height, and its refinement by Peyre, for wonderful compactifications of semi-simple algebraic groups over number fields. The proof proceeds via the study of the associated height zeta function and its spectral expansion.

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Joseph A. Shalika, Ramin Takloo-Bighash, Yuri Tschinkel. 2006-02-11. Rational points on compactifications of semi-simple algebraic groups. https://doi.org/10.1090/s0894-0347-07-00572-3

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