Saito-Kurokawa lifts and applications to the Bloch-Kato conjecture
| dc.creator | Brown, Jim | |
| dc.date | 2005-12-13 | |
| dc.date.accessioned | 2026-07-07T06:55:09Z | |
| dc.date.available | 2026-07-07T06:55:09Z | |
| dc.description | Let f be a newform of weight 2k-2 and level 1. In this paper we provide evidence for the Bloch-Kato conjecture for modular forms. We demonstrate an implication that under suitable hypothesis if a prime divides the algebraic part of L(k,f), then the prime divides the order of the Selmer group associated to f. We demonstrate this by establishing a congruence between the Saito-Kurokawa lift of f and a cuspidal Siegel eigenform that is not a Saito-Kurokawa lift. We then examine what this congruence says in terms of Galois representations to produce a non-trivial p-torsion element in the Selmer group. | |
| dc.description | 36 Pages Submitted to Duke Mathematical Journal | |
| dc.identifier | https://arxiv.org/abs/math/0512279 | |
| dc.identifier | http://arxiv.org/abs/math/0512279 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/106190 | |
| dc.subject | Number Theory | |
| dc.subject | 11F33; 11F67 (Primary); 11F46; 11F80 (Secondary) | |
| dc.title | Saito-Kurokawa lifts and applications to the Bloch-Kato conjecture | |
| dc.type | text |