Arithmetic purity of strong approximation for semi-simple simply connected groups

DOI10.1112/S0010437X20007617zbMath1484.11145arXiv1906.06967OpenAlexW3127002390MaRDI QIDQ4964756

Zhizhong Huang, Yang Cao

Publication date: 3 March 2021

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.06967

zbMATH Keywords

linear algebraic groupsstrong approximationaffine linear sieves

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Rational points (14G05) Linear algebraic groups over global fields and their integers (20G30) Applications of sieve methods (11N36) Varieties over global fields (11G35) Group schemes (14L15) Linear algebraic groups over adèles and other rings and schemes (20G35) Sieves (11N35) Hasse principle, weak and strong approximation, Brauer-Manin obstruction (14G12)

Related Items

Arithmetic purity of strong approximation for complete toric varieties ⋮ Arithmetic purity of the Hardy-Littlewood property and geometric sieve for affine quadrics

Cites Work

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• Weil and Grothendieck approaches to adelic points
• Prime and almost prime integral points on principal homogeneous spaces
• Homogeneous asymptotic limits of Haar measures of semisimple linear groups and their lattices
• Distribution of lattice orbits on homogeneous varieties
• The defect of strong approximation for commutative algebraic groups
• Density of integer points on affine homogeneous varieties
• Algebraic geometry IV: linear algebraic groups, invariant theory. Transl. from the Russian by G.A. Kandall
• Arithmetic purity of strong approximation for homogeneous spaces
• Rational Points on Varieties
• Brauer–Manin obstruction for integral points of homogeneous spaces and representation by integral quadratic forms
• Néron Models
• Strong Approximation with Brauer–Manin Obstruction for Toric Varieties
• Rational points and zero-cycles on rationally connected varieties over number fields
• Galois Groups and Fundamental Groups
• Starke Approximation in algebraischen Gruppen. I.
• Allgemeine Kongruenzklasseneinteilungen der Ideale einfacher Algebren über algebraischen Zahlkörper und ihre L-Reihen.
• On representations of integers by indefinite ternary quadratic forms.