Rational points on compactifications of semi-simple algebraic groups
classification
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math.AG
keywords
algebraiccompactificationsgroupsheightpointsrationalsemi-simpleassociated
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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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