Brauer-Manin obstruction to weak approximation on abelian varieties

DOI10.1007/BF02762704zbMath0870.14032MaRDI QIDQ1916894

Lan Wang

Publication date: 22 August 1996

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

abelian varietiesTate-Shafarevich groupBrauer-Manin obstructionweak approximation propertyelliptic curves over quadratic fields

Mathematics Subject Classification ID

Arithmetic algebraic geometry (Diophantine geometry) (11G99) Arithmetic ground fields for abelian varieties (14K15) Local cohomology and algebraic geometry (14B15)

Related Items

Pathologies of the Brauer-Manin obstruction, The elementary obstruction and homogeneous spaces, Weak approximation and non-abelian fundamental groups, The Brauer-Manin obstruction for subvarieties of abelian varieties over function fields

Uses Software

• ecdata

Cites Work

• La descente sur les variétés rationnelles. II. (The descent on rational varieties. II)
• On \(\ell\)-adic representations attached to modular forms
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