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What is Perfectoid Covers of Abelian Varieties about?

This document presents a characterization of perfectoid profinite étale covers of abelian varieties using the Hodge-Tate filtration on the p-adic Tate module. It computes the geometric Sen morphism for profinite p-adic Lie torsors over abelian varieties and proves a conjecture related to perfectoidness in this context. The results extend to semi-abeloid varieties and p-divisible rigid analytic groups, with an appendix providing an alternate proof for specific cases.

Author

lol

Language

EN