Rational points on compactifications of semi-simple algebraic groups

Details Rational points on compactifications of semi-simple algebraic groups Rational points on compactifications of semi-simple algebraic groups

2006-02-11

arxiv.org/abs/math/0602236v1

Mathematics

Number Theory

Scientific paper

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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