ON THE RATIONALITY OF ALMOST SIMPLE ALGEBRAIC GROUPS

DOI10.1142/S0129167X99000252zbMath1039.20024arXivalg-geom/9604004MaRDI QIDQ2728467

Nguyêñ Quôć Thǎńg

Publication date: 1 August 2001

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

Full work available at URL: https://arxiv.org/abs/alg-geom/9604004

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Group varieties (14L10)

Cites Work

• Problems in R-equivalence of semisimple groups
• \(R\)-equivalence and rationality problem for semisimple adjoint classical algebraic groups
• On weak approximation in algebraic groups and related varieties defined by systems of forms
• The group of congruence coefficients of a canonical quadratic form and stable rationality of the \(PSO\) variety
• Some local-global principles in the arithmetic of algebraic groups over real function fields
• Generic element in \(SK_ 1\) for simple algebras
• On the relative theory of Tamagawa numbers
• On algebraic group varieties
• WHITEHEAD GROUPS OF SPINOR GROUPS
• TOROIDAL FANO VARIETIES AND ROOT SYSTEMS
• Conjugacy Classes of Maximal Tori in Simple Real Algebraic Groups and Applications