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HASSE PRINCIPLES FOR ÉTALE MOTIVIC COHOMOLOGY
Published online by Cambridge University Press: 26 December 2018
Abstract
We discuss the kernel of the localization map from étale motivic cohomology of a variety over a number field to étale motivic cohomology of the base change to its completions. This generalizes the Hasse principle for the Brauer group, and is related to Tate–Shafarevich groups of abelian varieties.
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- Information
- Nagoya Mathematical Journal , Volume 236: Celebrating the 60th Birthday of Shuji Saito , December 2019 , pp. 63 - 83
- Copyright
- © 2018 Foundation Nagoya Mathematical Journal
Footnotes
Supported by JSPS Grant-in-Aid (C) 18K03258, (A) 15H02048-1.