1988/06/30 by Sergei G Tankeev · 1 citation
Mathematics · #Algebraic Geometry and Number Theory #Advanced Algebra and Geometry #Homotopy and Cohomology in Algebraic Topology #Abelian group #Mathematics #Dimension (graph theory) #Simple (philosophy) #Prime (order theory) #Prime number #Pure mathematics #Combinatorics #Philosophy #Epistemology
paper · doi:10.1070/im1988v031n03abeh001088
openalex publication_date 1988/06/30 · openalex created_date 2025/10/10 · openalex updated_date 2025/11/06
For all simple abelian varieties of prime dimension over number fields the author proves 1) a version of the Mumford-Tate conjecture, asserting that the Lie algebra of the image of the /-adic representation is isomorphic to the Lie algebra of the set of Ql-points of the Mumford-Tate group, and 2) the Tate conjecture on cycles. Bibliography: 21 titles.