The noncommutative Selmer torsion conjecture for elliptic curves
The noncommutative Selmer torsion conjecture for elliptic curves
Let be an elliptic curve, let be a prime at which has good ordinary reduction, and set . Let and , and let denote the category defined using the Ore set .
The noncommutative Selmer torsion conjecture. The Pontryagin dual of the Selmer group,
belongs to .
This is the basic torsion conjecture for the noncommutative extension generated by the -power division points of . The supplied text gives no resolution of it.
Sources & referencesView supporting material
Primary source
J. Coates, T. Fukaya, K. Kato, R. Sujatha and O. Venjakob, “The GL_2 main conjecture for elliptic curves without complex multiplication”, arXiv:math/0404297 (2004).
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