Equivariant Birch-Swinnerton-Dyer conjecture for the base change of elliptic curves: An example
| dc.creator | Navilarekallu, Tejaswi | |
| dc.date | 2007-08-01 | |
| dc.date.accessioned | 2026-07-07T08:21:42Z | |
| dc.date.available | 2026-07-07T08:21:42Z | |
| dc.description | Let E be an elliptic curved defined over $\Q$ and let $K/\Q$ be a finite Galois extension with Galois group G. The equivariant Birch-Swinnerton-Dyer conjecture for $h^1(E\times_{\Q} K)(1)$ viewed as a motive over $\Q$ with coefficients in $\Q[G]$ relates the twisted L-values associated with E with the arithmetic invariants of the same. In this paper we prescribe an approach to verify this conjecture for a given data. Using this approach, we verify the conjecture for an elliptic curve of conductor 11 and an S_3-extension of $\Q$. | |
| dc.description | 21 pages | |
| dc.identifier | https://arxiv.org/abs/0708.0084 | |
| dc.identifier | http://arxiv.org/abs/0708.0084 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/135403 | |
| dc.subject | Number Theory | |
| dc.subject | 11G40, 14G10 | |
| dc.title | Equivariant Birch-Swinnerton-Dyer conjecture for the base change of elliptic curves: An example | |
| dc.type | text |