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Complex Period Lattice

Subsections

Period Map

Let A be a modular abelian variety. The period mapping of A is a map from the rational homology of A to a complex vector space.

PeriodMapping(A, prec) : ModAbVar, RngIntElt -> Map
The complex period mapping from the rational homology of the abelian variety A to Cd, where d=( dim)A, computed using prec terms of q-expansions.

Period Lattice

Periods(A, n) : ModAbVar, RngIntElt -> SeqEnum
Given an abelian variety A and an integer n return generators for the complex period lattice of A, computed using n terms of q-expansions. We use the map from A to a modular symbols abelian variety to define the period mapping (so this map must be injective).
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Version: V2.19 of Wed Apr 24 15:09:57 EST 2013