Visibility of the Shafarevich–Tate Group at Higher Level
نویسندگان
چکیده
We study visibility of Shafarevich–Tate groups of modular abelian varieties in Jacobians of modular curves of higher level. We prove a theorem about the existence of visible elements at a specific higher level under certain hypothesis which can be verified explicitly. We also provide a table of examples of visible subgroups at higher level and state a conjecture inspired by our data. 2000 Mathematics Subject Classification: 11G05, 11G10, 11G18, 11Y40
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تاریخ انتشار 2007