Abstract
Mazur [7] has introduced the concept of visible elements in the Tate-Shafarevich group of optimal modular elliptic curves. We generalized the notion to arbitrary abelian subvarieties of abelian varieties and found, based on calculations that assume the Birch-Swinnerton-Dyer conjecture, that there are elements of the Tate-Shafarevich group of certain sub-abelian varieties of J 0 ( p) and J 1 ( p) that are not visible.
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Schedule a callMore From: Comptes Rendus de l'Academie des Sciences Series I Mathematics
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