Visibility of Mordell-Weil Groups
We introduce a notion of visibility for Mordell-Weil groups, make a conjecture about visibility, and support it with theoretical evidence and data. These results shed new light on relations between Mordell-Weil and Shafarevich-Tate groups.
2000 Mathematics Subject Classification:
Keywords and Phrases: Elliptic Curves, Abelian Varieties, Mordell-Weil Groups, Shafarevich-Tate Groups, Visibility
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