Résolutions flasques des groupes linéaires connexes
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Publication:3524807
DOI10.1515/CRELLE.2008.034zbMath1158.14021MaRDI QIDQ3524807
Publication date: 15 September 2008
Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)
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Cites Work
- Unnamed Item
- Stable trace formula: Cuspidal tempered terms
- Stable trace formula: Elliptic singular terms
- Principal homogeneous spaces under flasque tori; applications
- La descente sur les variétés rationnelles. II. (The descent on rational varieties. II)
- Algebraic groups and rational points
- Arithmetic of linear algebraic groups over 2-dimensional geometric fields
- Arithmetical birational invariants of linear algebraic groups over two-dimensional geometric fields
- The period-index problem for the Brauer group of an algebraic surface
- Formulas for the unramified Brauer group of a principal homogeneous space of a linear algebraic group.
- Generic element in \(SK_ 1\) for simple algebras
