An explicit formula for the genus 3 AGM
| dc.creator | Lehavi, D. | |
| dc.date | 2001-11-27 | |
| dc.date | 2002-11-21 | |
| dc.date.accessioned | 2026-07-07T04:44:47Z | |
| dc.date.available | 2026-07-07T04:44:47Z | |
| dc.description | Given a smooth non-hyperelliptic curve C of genus 3 and a maximal isotropic subgroup (w.r.t. the Weil pairing) L in Jac(C)[2], there exists a smooth curve C' s.t. Jac(C')=Jac(C)/L. This construction is symmetric. i.e. if we start with C' and the dual flag on it, we get C. A previous less explicit approach was taken by Donagi and Livne. The advantage of our construction is that it is explicit enough to describe the isomorphism H^0(C,K_C)=H^0(C',K_C'). | |
| dc.description | 13 pages, LaTeX 2e amsart, xypic. New version includes explicit identification of the differentials | |
| dc.identifier | https://arxiv.org/abs/math/0111273 | |
| dc.identifier | http://arxiv.org/abs/math/0111273 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62735 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14H40,14H45,14Q05 | |
| dc.title | An explicit formula for the genus 3 AGM | |
| dc.type | text |