Vasyl Andriychuk, “On linear algebraic groups over pseudoglobal fields”, Algebra Discrete Math., 2007, выпуск 4,страницы 11

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RESEARCH ARTICLE

On linear algebraic groups over pseudoglobal fields

Vasyl Andriychuk

Department of Mathematics and Mechanics, Lviv Ivan Franko University, Lviv, Ukraine

Аннотация: Some properties of $R$–equivalence and weak approximation in linear algebraic group over global field are generalized to the case of linear algebraic group over an algebraic function field in one variable with pseudofinite constant field.

Ключевые слова: linear algebraic group, Hasse principle, weak approximation, Tate–Shafarevich group, algebraic function field.

MSC: 11E72, 14G27, 20G35

Поступила в редакцию: 18.10.2007
Исправленный вариант: 10.04.2008

Язык публикации: английский