On p-adic uniformization of abelian varieties with good reduction

Abstract: Investigating the p-adic integration map constructed by J.-M. Fontaine during the 90's, which is the main tool for proving the Hodge--Tate decomposition of the Tate module of an abelian variety over a p-adic field, we realized that the group of p-adic points of the above-named abelian variety, satisfying certain hypothesis, has a type of p-adic uniformization which was not remarked before. This is joint work with A. Iovita and A. Zaharescu.

commutative algebraalgebraic geometrynumber theory

Audience: researchers in the topic

Recent Advances in Modern p-Adic Geometry (RAMpAGe)

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