Rational points on compactifications of semi-simple groups
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Publication:3594378
DOI10.1090/S0894-0347-07-00572-3zbMath1122.14019arXivmath/0602236MaRDI QIDQ3594378
Ramin Takloo-Bighash, Yuri Tschinkel, Joseph A. Shalika
Publication date: 7 August 2007
Published in: Journal of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0602236
Rational points (14G05) Heights (11G50) Representation-theoretic methods; automorphic representations over local and global fields (11F70)
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Cites Work
- A vanishing theorem for group compactifications
- Rational points of bounded height on Fano varieties
- On the number of rational points of bounded height on algebraic varieties
- A trace formula for reductive groups. I: Terms associated to classes in G(Q)
- Compactification of symmetric varieties
- Spherical varieties and Mori theory
- On the distribution of points of bounded height on equivariant compactifications of vector groups.
- Uniform pointwise bounds for matrix coefficients of unitary representations and applications to Kazhdan constants
- Functorial products for \(\text{GL}_2\times \text{GL}_3\) and the symmetric cube for \(\text{GL}_2\).
- Heights and Tamagawa measures on Fano varieties
- On some Bruhat decomposition and the structure of the Hecke rings of \(p\)-adic Chevalley groups
- Theory of spherical functions on reductive algebraic groups over p-adic fields
- On a Family of Distributions Obtained from Eisenstein Series I: Application of the Paley-Wiener Theorem
- On the Degree of Igusa's Local Zeta Function
- Groupe de Brauer et arithmétique des groupes algébriques linéaires sur un corps de nombres.
- Automorphic Representation of Unitary Groups in Three Variables. (AM-123)
- Tamagawa numbers of polarized algebraic varieties
- Manin's conjecture for toric varieties
- Geometric Invariant Theory
- Rational Points of Bounded Height on Compactifications of Anisotropic Tori
- ON THE FINE SPECTRAL EXPANSION OF JACQUET’S RELATIVE TRACE FORMULA
- Manin’s and Peyre’s conjectures on rational points and adelic mixing
- Starke Approximation in algebraischen Gruppen. I.
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