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Some Abelian Varieties with Visible Shafarevich-Tate Groups

Some Abelian Varieties with Visible Shafarevich-Tate Groups


W.A. Stein


We give examples of abelian variety quotients of the modular jacobian J0(N) with nontrivial visible Shafarevich-Tate groups. In computing these examples we developed formulas for invariants of higher dimensional modular abelian varieties.



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