Totaro’s question for adjoint groups of types 𝐴₁ and 𝐴_{2𝑛}

DOI10.1090/proc/13707OpenAlexW2963128443MaRDI QIDQ6073679

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Publication date: 11 October 2023

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/13707

zbMATH Keywords

algebras with involutionlinear algebraic groupsadjoint groupstorsorszero-cycle

Mathematics Subject Classification ID

Bilinear and Hermitian forms (11E39) Galois cohomology of linear algebraic groups (11E72)

Cites Work

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• On Serre's injectivity question and norm principle
• Totaro's question for simply connected groups of low rank
• Zero cycles of degree one on principal homogeneous spaces
• Homogeneous varieties -- zero-cycles of degree one versus rational points
• Erratum to: ``Totaro's question on zero-cycles on torsors
• Splitting fields for \(E_8\)-torsors
• Totaro's question on zero-cycles on torsors
• Implications of the Hasse principle for zero cycles of degree one on principal homogeneous spaces
• Forms in Odd Degree Extensions and Self-Dual Normal Bases
• Totaro’s question for tori of low rank
• TOTARO'S QUESTION ON ZERO-CYCLES ON $G_2$, $F_4$ AND $E_6$ TORSORS
• Finite-Dimensional Division Algebras over Fields

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