Degrees of polarizations on an abelian surface with real multiplication
| dc.creator | Wilson, John | |
| dc.date | 2000-12-07 | |
| dc.date.accessioned | 2026-07-07T04:39:05Z | |
| dc.date.available | 2026-07-07T04:39:05Z | |
| dc.description | Let F be a real quadratic field, and let R be an order in F. Suppose given a polarized abelian surface (A,λ) defined over a number field k with a symmetric action of R defined over k. This paper considers varying A within the k-isogeny class of A to reduce the degree of λand the conductor of R. It is proved, in particular, that there is a k-isogenous principally polarized abelian surface with an action of the full ring of integers of F when F has class number 1 and the degree of λand the conductor of R are odd and coprime. | |
| dc.description | 14 pages; LaTeX2e source; to be published in Bulletin of the LMS | |
| dc.identifier | https://arxiv.org/abs/math/0012045 | |
| dc.identifier | http://arxiv.org/abs/math/0012045 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/60520 | |
| dc.subject | Number Theory | |
| dc.subject | 11G10 (Primary) 11G15, 14K22 (Secondary) | |
| dc.title | Degrees of polarizations on an abelian surface with real multiplication | |
| dc.type | text |