Algebraic Tori — Thirty Years After
نویسندگان
چکیده
This article is an expanded version of my talk given at the International Conference “Algebra and Number Theory” dedicated to the 80th anniversary of V. E. Voskresenskĭı, which was held at the Samara State University in May 2007. The goal is to give an overview of results of V. E. Voskresenskĭı on arithmetic and birational properties of algebraic tori which culminated in his monograph [Vo77] published 30 years ago. I shall try to put these results and ideas into somehow broader context and also to give a brief digest of the relevant activity related to the period after the English version of the monograph [Vo98] appeared.
منابع مشابه
Representation theory of compact groups and complex reductive groups , Winter 2011
3 Tori 13 3.1 Compact tori . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 3.2 Representations of Tori . . . . . . . . . . . . . . . . . . . . . 13 3.3 Complexification of tori . . . . . . . . . . . . . . . . . . . . . 15 3.3.1 Complex Lie groups and complex algebraic groups . . 15 3.3.2 Algebraic varieties and localization . . . . . . . . . . . 17 3.3.3 Complex tori . . . . . . . . . ...
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