Rational points on compactifications of semi-simple groups
نویسندگان
چکیده
منابع مشابه
Rational Points on Compactifications of Semi-simple Groups of Rank
— We explain our approach to the problem of counting rational points of bounded height on equivariant compactifications of semi-simple groups.
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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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We study the asymptotic distribution of integral points of bounded height on partial bi-equivariant compactifications of semisimple groups of adjoint type.
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Fix an isogeny class of abelian varieties with commutative endomorphism algebra over a finite field. This isogeny class is determined by a Weil polynomial fA without multiple roots. We give a classification of groups of rational points on varieties from this class in terms of Newton polygons of fA(1− t).
متن کاملDistribution of rational points of bounded height on equivariant compactifications of PGL2 I
Distribution of rational points of bounded height on equivariant compactifications of PGL 2 I Takloo-Bighash, Ramin; Tanimoto, Sho Published in: Research in Number Theory DOI: 10.1007/s40993-016-0037-7 Publication date: 2016 Document Version Publisher's PDF, also known as Version of record Citation for published version (APA): Takloo-Bighash, R., & Tanimoto, S. (2016). Distribution of rational ...
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ژورنال
عنوان ژورنال: Journal of the American Mathematical Society
سال: 2007
ISSN: 0894-0347
DOI: 10.1090/s0894-0347-07-00572-3