Iwasawa theory for elliptic curves at supersingular primes over Z_p-extensions of number fields
| dc.creator | Iovita, Adrian | |
| dc.creator | Pollack, Robert | |
| dc.date | 2004-11-22 | |
| dc.date.accessioned | 2026-07-07T05:14:35Z | |
| dc.date.available | 2026-07-07T05:14:35Z | |
| dc.description | In this paper, we make a study of the Iwasawa theory of an elliptic curve at a supersingular prime p along an arbitrary Z_p-extension of a number field K in the case when p splits completely in K. Generalizing work of Kobayashi and Perrin-Riou, we define restricted Selmer groups and λ^\pm, μ^\pm-invariants; we then derive asymptotic formulas describing the growth of the Selmer group in terms of these invariants. To be able to work with non-cyclotomic Z_p-extensions, a new local result is proven that gives a complete description of the formal group of an elliptic curve at a supersingular prime along any ramified Z_p-extension of Q_p. | |
| dc.description | 35 pages | |
| dc.identifier | https://arxiv.org/abs/math/0411496 | |
| dc.identifier | http://arxiv.org/abs/math/0411496 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73331 | |
| dc.subject | Number Theory | |
| dc.subject | 11R23; 11S31; 11G05 | |
| dc.title | Iwasawa theory for elliptic curves at supersingular primes over Z_p-extensions of number fields | |
| dc.type | text |