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Heights via anabelian geometry and local Bloch-Kato Selmer sets

Abstract:

We study the problem of describing local components of height functions on abelian varieties over characteristic 0 local fields as functions on spaces of torsors under various realisations of a 2-step unipotent motivic fundamental group naturally associated to the defining line bundle. To this end, we present three main theorems giving such a description in terms of the Ql and Qp-pro-unipotent etale realisations when the base field is p-adic, and in terms of the R-pr...

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Luke Alexander Betts More by this author
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Funding agency for:
Luke Alexander Betts
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford

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