Remark on the rank of elliptic curves
Nikolaev, Igor
Osaka J. Math., Tome 46 (2009) no. 1, p. 515-527 / Harvested from Project Euclid
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.
Publié le : 2009-06-15
Classification:  11G15,  46L85
@article{1245415682,
     author = {Nikolaev, Igor},
     title = {Remark on the rank of elliptic curves},
     journal = {Osaka J. Math.},
     volume = {46},
     number = {1},
     year = {2009},
     pages = { 515-527},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1245415682}
}
Nikolaev, Igor. Remark on the rank of elliptic curves. Osaka J. Math., Tome 46 (2009) no. 1, pp.  515-527. http://gdmltest.u-ga.fr/item/1245415682/