Remark on the rank of elliptic curves
Igor Nikolaev
Source: Osaka J. Math. Volume 46, Number 2 (2009), 515-527.
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.
Primary Subjects: 11G15, 46L85
Full-text: Open access
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.ojm/1245415682
Zentralblatt MATH identifier:
05578942
2009 © Osaka University and Osaka City University, Departments of Mathematics
Osaka Journal of Mathematics
