Unramified cohomology in a product with an elliptic curve

DOI10.1007/s00229-019-01106-zzbMath1423.14058OpenAlexW2963370177MaRDI QIDQ2326795

Jean-Louis Colliot-Thélène

Publication date: 10 October 2019

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-019-01106-z

Mathematics Subject Classification ID

Algebraic cycles (14C25) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Algebraic cycles and motivic cohomology ((K)-theoretic aspects) (19E15) Applications of methods of algebraic (K)-theory in algebraic geometry (14C35)

Related Items (5)

Failure of the integral Hodge conjecture for threefolds of Kodaira dimension zero ⋮ Refined unramified cohomology of schemes ⋮ On the integral Hodge conjecture for varieties with trivial Chow group ⋮ On the integral Tate conjecture for the product of a curve and a \(CH_0\)-trivial surface over a finite field ⋮ On the unramified cohomology of certain quotient varieties

Cites Work

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• Exponent and index of nonramified central simple algebras (with an appendix by Ofer Gabber).
• Failure of the integral Hodge conjecture for threefolds of Kodaira dimension zero
• Unramified cohomology and the entire Hodge conjecture
• Algebraic cycles and fibrations
• Bloch's conjecture for Catanese and Barlow surfaces
• Quotients of products of curves, new surfaces with <i>p_g</i> = 0 and their fundamental groups.
• Stably irrational hypersurfaces of small slopes

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