Ihara's lemma for imaginary quadratic fields
| dc.creator | Klosin, Krzysztof | |
| dc.date | 2007-08-22 | |
| dc.date.accessioned | 2026-07-07T08:24:57Z | |
| dc.date.available | 2026-07-07T08:24:57Z | |
| dc.description | An analogue over imaginary quadratic fields of a result in algebraic number theory known as Ihara's lemma is established. More precisely, we show that for a prime ideal P of the ring of integers of an imaginary quadratic field F, the kernel of the sum of the two standard P-degeneracy maps between the cuspidal sheaf cohomology H^1_!(X_0, M_0)^2 --> H^1_!(X_1, M_1) is Eisenstein. Here X_0 and X_1 are analogues over F of the modular curves X_0(N) and X_0(Np), respectively. To prove our theorem we use the method of modular symbols and the congruence subgroup property for the group SL(2) which is due to Serre. | |
| dc.description | 10 pages | |
| dc.identifier | https://arxiv.org/abs/0708.3006 | |
| dc.identifier | http://arxiv.org/abs/0708.3006 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/136519 | |
| dc.subject | Number Theory | |
| dc.subject | 11F55, 11F75 | |
| dc.title | Ihara's lemma for imaginary quadratic fields | |
| dc.type | text |