The motivic anabelian geometry of local heights on abelian varieties

DOI10.1090/MEMO/1518MaRDI QIDQ6640524

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Publication date: 20 November 2024

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

zbMATH Keywords

group cohomologyGalois representationstorsorsmixed Hodge structures\(p\)-adic Hodge theoryhomotopical algebraanabelian geometryheight functionsétale fundamental groupsBloch-Kato theory

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Research exposition (monographs, survey articles) pertaining to number theory (11-02) Heights (11G50) Varieties over finite and local fields (11G25) Arithmetic varieties and schemes; Arakelov theory; heights (14G40)

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• Mixed Hodge Structures
• Simplicial homotopy theory
• Local constancy of pro‐unipotent Kummer maps
• Semisimplicity of the Frobenius action on \(\pi_1\)

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