Integral points of bounded height on partial equivariant compactifications of vector groups
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Publication:1928329
DOI10.1215/00127094-1813638zbMath1348.11055arXiv0912.4751OpenAlexW2049050737MaRDI QIDQ1928329
Yuri Tschinkel, Antoine Chambert-Loir
Publication date: 3 January 2013
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0912.4751
Euler productsequivariant compactificationsvector groupsIgusa-type integralssmooth projective equivariant compactification
Rational points (14G05) Heights (11G50) Varieties over finite and local fields (11G25) Global ground fields in algebraic geometry (14G25)
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Cites Work
- Unnamed Item
- Singular del Pezzo surfaces that are equivariant compactifications
- Igusa integrals and volume asymptotics in analytic and adelic geometry
- Analytic van der Corput lemma for \(p\)-adic and \(\mathbf F_q((t))\) oscillatory integrals, singular Fourier transforms, and restriction theorems
- Rational points of bounded height on Fano varieties
- Adèles and algebraic groups. (Appendix 1: The case of the group \(G_2\), by M. Demazure. Appendix 2: A short survey of subsequent research on Tamagawa numbers, by T. Ono)
- Une presentation adelique de la série singuliere et du problème de Waring
- On the distribution of points of bounded height on equivariant compactifications of vector groups.
- Heights and Tamagawa measures on Fano varieties
- Dirichlet series and automorphic forms
- Tamagawa numbers of polarized algebraic varieties
- Equivariant resolution of points of indeterminacy
- Rational Points of Bounded Height on Compactifications of Anisotropic Tori