An unconditional construction of motivic Galois groups

DOI10.1016/S1631-073X(02)02384-1zbMath1052.14021OpenAlexW2027757198MaRDI QIDQ1608724

Yves André, Kahn, Bruno

Publication date: 14 October 2002

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1631-073x(02)02384-1

zbMATH Keywords

Weil cohomologyKünneth projectors

Mathematics Subject Classification ID

Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory) (14G32) Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) (14F43) Motivic cohomology; motivic homotopy theory (14F42)

Related Items (6)

Nilpotence, radicals and monoidal structures. With an appendix by Peter O'Sullivan. ⋮ A universal rigid abelian tensor category ⋮ Integral motives and special values of zeta functions ⋮ Universal cohomology theories ⋮ On classical tensor categories attached to the irreducible representations of the general linear supergroups \(GL(n|n)\) ⋮ Albanese kernels and Griffiths groups

Cites Work

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• Cycle classes and Riemann-Roch for crystalline cohomology
• Motives, numerical equivalence, and semi-simplicity
• For an unconditional theory of motives
• Some consequences of the Riemann hypothesis for varieties over finite fields
• Categories tannakiennes

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