Strong approximation for a toric variety

DOI10.1007/s10114-021-8193-7zbMath1466.11043arXiv1403.1035OpenAlexW3122140684MaRDI QIDQ1995622

Dasheng Wei

Publication date: 24 February 2021

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.1035

zbMATH Keywords

torusstrong approximationBrauer-Manin obstructionuniversal torsor

Mathematics Subject Classification ID

Rational points (14G05) Varieties over global fields (11G35)

Related Items (2)

Arithmetic purity of strong approximation for complete toric varieties ⋮ Rational points on fibrations with few non-split fibres

Cites Work

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• Strong approximation in families
• Insufficiency of the Brauer-Manin obstruction applied to étale covers
• The defect of strong approximation for commutative algebraic groups
• La descente sur les variétés rationnelles. II. (The descent on rational varieties. II)
• Integral points for groups of multiplicative type
• Manin obstruction to strong approximation for homogeneous spaces
• Strong approximation and descent
• Integral points for multi-norm tori
• Le défaut d'approximation forte dans les groupes linéaires connexes
• Groupe de Brauer et points entiers de deux familles de surfaces cubiques affines
• Brauer–Manin obstruction for integral points of homogeneous spaces and representation by integral quadratic forms
• Strong Approximation with Brauer–Manin Obstruction for Toric Varieties
• Strong approximation for the total space of certain quadric fibrations
• Descent theory for open varieties

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