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#torsion_conjecture

Torsion conjecture

Conjecture in number theory

In algebraic geometry and number theory, the torsion conjecture or uniform boundedness conjecture for torsion points for abelian varieties states that the order of the torsion group of an abelian variety over a number field can be bounded in terms of the dimension of the variety and the number field. A stronger version of the conjecture is that the torsion is bounded in terms of the dimension of the variety and the degree of the number field. The torsion conjecture has been completely resolved in the case of elliptic curves.

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Torsion conjecture Arithmetic geometry Mazur's theorem Hodge conjecture Conjecture Abc conjecture Birch and Swinnerton-Dyer conjecture Baum–Connes conjecture Von Neumann conjecture Mordell–Weil theorem
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