Rational points on compactifications of semi-simple groups

• Autores: Joseph Shalika, Ramin Takloo-Bighash, Yuri Tschinkel
• Localización: Journal of the American Mathematical Society, ISSN 0894-0347, Vol. 20, Nº 4, 2007, págs. 1135-1186
• Idioma: inglés
• DOI: 10.1090/s0894-0347-07-00572-3
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• Resumen

  • 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.