An Isomorphism Between Moduli Spaces of Abelian Varieties
| dc.creator | Birkenhake, Ch. | |
| dc.creator | Lange, H. | |
| dc.date | 2002-04-22 | |
| dc.date.accessioned | 2026-07-07T04:47:58Z | |
| dc.date.available | 2026-07-07T04:47:58Z | |
| dc.description | In a previous paper we showed that for every polarization on an abelian variety there is a dual polarization on the dual abelian variety. In this note we extend this notion of duality to families of polarized abelian varieties. As a main consequence we obtain an involution on the set of moduli spaces of polarized abelian varieties of dimension $g$. In particular, the moduli spaces $\mathcal A_{(d_1,...,d_g)}$ and $\mathcal A_{(d_1,\frac{d_1d_g}{d_{g-1}},...,\frac{d_1d_g}{d_2},d_g)}$ are canonically isomorphic. | |
| dc.description | 7 pages | |
| dc.identifier | https://arxiv.org/abs/math/0204260 | |
| dc.identifier | http://arxiv.org/abs/math/0204260 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63873 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14K05 | |
| dc.title | An Isomorphism Between Moduli Spaces of Abelian Varieties | |
| dc.type | text |