Lattices in Tate modules

Refining a theorem of Zarhin, we prove that, given ag-dimensional abelian variety X and an endomorphism u of X,there exists a matrixA∈M2g(Z) such that each Tate module T X has a Z -basis on which the action of u is given by A, and similarly for the covariant Dieudonné module if over a perfect field...

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Bibliographic Details
Main Authors: Poonen, Bjorn, Rybakov, Sergey
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: Proceedings of the National Academy of Sciences 2022
Online Access:https://hdl.handle.net/1721.1/145829