On uniform lower bound of the Galois images associated to elliptic curves
| dc.creator | Arai, Keisuke | |
| dc.date | 2007-03-23 | |
| dc.date.accessioned | 2026-07-07T07:53:24Z | |
| dc.date.available | 2026-07-07T07:53:24Z | |
| dc.description | Let p be a prime and K be a number field. Let rho_{E,p}:G_K \longrightarrow Aut(T_p E)\cong GL_2(Z_p) be the Galois representation given by the Galois action on the p-adic Tate module of an elliptic curve E over K. Serre showed that the image of rho_{E,p} is open if E has no complex multiplication. For an elliptic curve E over K whose j-invariant does not appear in an exceptional finite set, we give an explicit uniform lower bound of the size of the image of rho_{E,p}. | |
| dc.description | 41 pages | |
| dc.identifier | https://arxiv.org/abs/math/0703686 | |
| dc.identifier | http://arxiv.org/abs/math/0703686 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/126241 | |
| dc.subject | Number Theory | |
| dc.subject | 11G05 | |
| dc.title | On uniform lower bound of the Galois images associated to elliptic curves | |
| dc.type | text |