Lattices in Tate modules
DownloadPublished version (647.4Kb)
Publisher with Creative Commons License
Publisher with Creative Commons License
Creative Commons Attribution
Terms of use
Metadata
Show full item recordAbstract
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 of characteristic p.
Date issued
2021Department
Massachusetts Institute of Technology. Department of MathematicsJournal
Proceedings of the National Academy of Sciences of the United States of America
Publisher
Proceedings of the National Academy of Sciences
Citation
Poonen, Bjorn and Rybakov, Sergey. 2021. "Lattices in Tate modules." Proceedings of the National Academy of Sciences of the United States of America, 118 (49).
Version: Final published version