Cohomology of algebraic varieties over the maximal cyclotomic extension of a global field

DOI10.1090/proc/14841zbMath1457.14046OpenAlexW2982659646WikidataQ126862311 ScholiaQ126862311MaRDI QIDQ5145500

Wayne Raskind

Publication date: 20 January 2021

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

Full work available at URL: https://doi.org/10.1090/proc/14841

Mathematics Subject Classification ID

Étale and other Grothendieck topologies and (co)homologies (14F20) Algebraic cycles (14C25) Global ground fields in algebraic geometry (14G25)

Cites Work

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• \(K_2\)-cohomology and the second Chow group
• Les suites spectrales associées au complexe de De Rham-Witt
• Finiteness theorems for abelian varieties over number fields.
• La conjecture de Weil. II
• Finiteness theorems in geometric classfield theory. (With an appendix by Kenneth A. Ribet)
• Relations between \(K_2\) and Galois cohomology
• Cohomology and torsion cycles over the maximal cyclotomic extension
• Descente galoisienne sur le groupe de Brauer
• The Homology of Kummer Manifolds
• A finiteness theorem for the Brauer group of abelian varieties and 𝐾3 surfaces
• Complexe de de\thinspace Rham-Witt et cohomologie cristalline

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