Remark on the rank of elliptic curves
Number Theory
2009-06-22 v4 Operator Algebras
Abstract
A covariant functor on the elliptic curves with complex multiplication is constructed. The functor takes values in the noncommutative tori with real multiplication. A conjecture on the rank of an elliptic curve is formulated.
Keywords
Cite
@article{arxiv.0706.1263,
title = {Remark on the rank of elliptic curves},
author = {Igor Nikolaev},
journal= {arXiv preprint arXiv:0706.1263},
year = {2009}
}
Comments
13 pages, 2 figures; to appear Osaka J. Mathematics 46 (2009), No.2; http://projecteuclid.org/euclid.ojm/1245415682