Pathologies of the group of R-equivalence classes of a linear algebraic groups

DOI10.1007/s00208-022-02490-warXiv2112.13604OpenAlexW4306249419MaRDI QIDQ6084197

Federico Scavia

Publication date: 31 October 2023

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.13604

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Rational and unirational varieties (14M20) Group varieties (14L10)

Cites Work

• Some rationality questions on algebraic groups
• Unipotent algebraic groups
• \(R\)-equivalence and special unitary groups
• \(R\)-equivalence and rationality problem for semisimple adjoint classical algebraic groups
• Local-global principles for constant reductive groups over semi-global fields
• Pathological behavior of arithmetic invariants of unipotent groups
• 𝑅-equivalence in spinor groups
• Spécialisation de la $R$-équivalence pour les groupes réductifs
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