Curves of genus 2 with group of automorphisms isomorphic to D_8 or D_12
| dc.creator | Cardona, Gabriel | |
| dc.creator | Quer, Jordi | |
| dc.date | 2002-03-17 | |
| dc.date.accessioned | 2026-07-07T04:47:06Z | |
| dc.date.available | 2026-07-07T04:47:06Z | |
| dc.description | In this paper we classify curves of genus 2 with group of automorphisms isomorphic to D_8 or D_12 over an arbitrary field k (of characteristic different from 2 in the D_8 case and from 2 and 3 in the D_{12} case) up to k-isomorphism. As an application of the classification of curves of genus 2 obtained, we get precise arithmetic information on their elliptic quotients and on their jacobians. Over the field k=Q, we show that the elliptic quotients of the curves with automorphisms D_8 and D_{12} are precisely the Q-curves of degrees 2 and 3, respectively, and we determine which curves have jacobians of GL_2-type. | |
| dc.description | 26 pages | |
| dc.identifier | https://arxiv.org/abs/math/0203165 | |
| dc.identifier | http://arxiv.org/abs/math/0203165 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63583 | |
| dc.subject | Number Theory | |
| dc.subject | Algebraic Geometry | |
| dc.title | Curves of genus 2 with group of automorphisms isomorphic to D_8 or D_12 | |
| dc.type | text |