Remark on the rank of elliptic curves

Igor Nikolaev

doi:ojm/1245415682

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Home > Journals > Osaka J. Math. > Volume 46 > Issue 2 > Article

June 2009 Remark on the rank of elliptic curves

Igor Nikolaev

Osaka J. Math. 46(2): 515-527 (June 2009).

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Abstract

A covariant functor on the elliptic curves with complex multiplication is constructed. The functor takes values in the noncommutative tori with real multi-plication. A conjecture on the rank of an elliptic curve is formulated.