An algebraic version of a theorem of Kurihara
| dc.creator | Pollack, Robert | |
| dc.date | 2004-07-22 | |
| dc.date.accessioned | 2026-07-07T05:10:36Z | |
| dc.date.available | 2026-07-07T05:10:36Z | |
| dc.description | Let E/Q be an elliptic curve and let p be an odd supersingular prime for E. In this article, we study the simplest case of Iwasawa theory for elliptic curves, namely when E(Q) is finite, III(E/Q) has no p-torsion and the Tamagawa factors for E are all prime to p. Under these hypotheses, we prove that E(Q_n) is finite and make precise statemens about the size and structure of the p-power part of III(E/Q_n). Here Q_n is the n-th step in the cyclotomic Z_p-extension of Q. | |
| dc.identifier | https://arxiv.org/abs/math/0407393 | |
| dc.identifier | http://arxiv.org/abs/math/0407393 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/71976 | |
| dc.subject | Number Theory | |
| dc.subject | 11R23 | |
| dc.title | An algebraic version of a theorem of Kurihara | |
| dc.type | text |