Very ample linear systems on abelian varieties
| dc.creator | Debarre, O. | |
| dc.creator | Hulek, K. | |
| dc.creator | Spandaw, J. | |
| dc.date | 1993-06-04 | |
| dc.date.accessioned | 2026-07-07T09:05:51Z | |
| dc.date.available | 2026-07-07T09:05:51Z | |
| dc.description | Let $(X,L)$ be a polarized complex abelian variety of dimension $g$ where $L$ is a polarization of type $(1,...,1,d)$. For $(X,L)$ genberic we prove the following: (1) If $d \ge g+2$, then $ϕ_L\colon X \to {\bf P}^{d-1}$ defines a birational morphism onto its image. (2) If $d > 2^g$, then $L$ is very ample. We show the latter by checking it on a suitable rank-$(g-1)$-degeneration. | |
| dc.description | 29 pages, typeset with AMS-LaTeX 1.1 | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9306004 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9306004 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/149816 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Very ample linear systems on abelian varieties | |
| dc.type | text |