We prove the Grothendieck conjecture on invariant cycles for an Abelian scheme over a smooth connected complex algebraic curve and the Tate conjecture for codimension r algebraic cycles on an Abelian variety over a number field. Bibliography: 18 titles.
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Translated from Problemy Matematicheskogo Analiza 104, 2020, pp. 63-68.
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Makarova, O.V. Invariant Cycles on Abelian Schemes. J Math Sci 250, 69–75 (2020). https://doi.org/10.1007/s10958-020-04998-5
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DOI: https://doi.org/10.1007/s10958-020-04998-5