Dihedral Galois representations and Katz modular forms
| dc.creator | Wiese, Gabor | |
| dc.date | 2004-02-10 | |
| dc.date.accessioned | 2026-07-07T05:05:20Z | |
| dc.date.available | 2026-07-07T05:05:20Z | |
| dc.description | We show that any two-dimensional odd dihedral representation ρover a finite field of characteristic p>0 of the absolute Galois group of the rational numbers can be obtained from a Katz modular form of level N, character εand weight k, where N is the conductor, εis the prime-to-p part of the determinant and k is the so-called minimal weight of ρ. In particular, k=1 if and only if ρis unramified at p. Direct arguments are used in the exceptional cases, where general results on weight and level lowering are not available. | |
| dc.description | 11 pages, LaTeX | |
| dc.identifier | https://arxiv.org/abs/math/0402163 | |
| dc.identifier | http://arxiv.org/abs/math/0402163 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70124 | |
| dc.subject | Number Theory | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 11F11, 11F80; 14G35 | |
| dc.title | Dihedral Galois representations and Katz modular forms | |
| dc.type | text |