Height zeta functions of equivariant compactifications of semi-direct products of algebraic groups

DOI10.1090/conm/566/11218zbMath1338.11054arXiv1104.0266OpenAlexW2963614342MaRDI QIDQ2918494

Sho Tanimoto, Yuri Tschinkel

Publication date: 6 October 2012

Published in: Zeta Functions in Algebra and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.0266

zbMATH Keywords

algebraic groupsrational pointsadelic groupssemi-direct productsequivariant compactificationsheight zeta-functions

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Varieties over global fields (11G35) Heights (11G50) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Arithmetic varieties and schemes; Arakelov theory; heights (14G40) Global ground fields in algebraic geometry (14G25)

Related Items (9)

Distribution of rational points of bounded height on equivariant compactifications of \(\mathrm{PGL}_2\). I ⋮ Quadratic congruences on average and rational points on cubic surfaces ⋮ Counting imaginary quadratic points via universal torsors ⋮ Counting imaginary quadratic points via universal torsors, II ⋮ Equivariant Compactifications of Two-Dimensional Algebraic Groups ⋮ La conjecture de Manin pour une famille de variétés en dimension supérieure ⋮ THE POWER‐SAVING MANIN–PEYRE CONJECTURE FOR A SENARY CUBIC ⋮ Campana points on biequivariant compactifications of the Heisenberg group ⋮ Motivic Euler Products and Motivic Height Zeta Functions

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