Modular representations on some Riemann-Roch spaces of modular curves X(N)
| dc.creator | Joyner, David | |
| dc.creator | Ksir, Amy | |
| dc.date | 2005-02-28 | |
| dc.date.accessioned | 2026-07-07T05:17:33Z | |
| dc.date.available | 2026-07-07T05:17:33Z | |
| dc.description | We compute the PSL(2,N)-module structure of the Riemann-Roch space L(D), where D is an invariant non-special divisor on the modular curve X(N), with N > 5 prime. This depends on a computation of the ramification module, which we give explicitly. These results hold for characteristic p if X(N) has good reduction mod p and p does not divide the order of PSL(2,N). We give as examples the cases N=7, 11, which were also computed using GAP. Applications to AG codes associated to this curve are considered, and specific examples are computed using GAP and MAGMA. | |
| dc.description | 49 pages, talk given at AMS Atlanta Algorithmic Algebraic Geometry seesion | |
| dc.identifier | https://arxiv.org/abs/math/0502586 | |
| dc.identifier | http://arxiv.org/abs/math/0502586 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/74345 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Representation Theory | |
| dc.subject | 14Q05;14H37;14G35;94B27;20C10 | |
| dc.title | Modular representations on some Riemann-Roch spaces of modular curves X(N) | |
| dc.type | text |