HASSE PRINCIPLES FOR ÉTALE MOTIVIC COHOMOLOGY

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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Bibliographic Details
Published inNagoya mathematical journal Vol. 236; pp. 63 - 83
Main Author GEISSER, THOMAS H.
Format Journal Article
LanguageEnglish
Published Nagoya Cambridge University Press 01.12.2019
Subjects
Homology
Hypotheses
Number theory
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Summary: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.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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content type line 14
ISSN:0027-7630
2152-6842
DOI:10.1017/nmj.2018.47