Reduction of the Manin map modulo $p$
| dc.creator | Buium, A. | |
| dc.creator | Voloch, J. F. | |
| dc.date | 1994-07-13 | |
| dc.date.accessioned | 2026-07-07T09:06:07Z | |
| dc.date.available | 2026-07-07T09:06:07Z | |
| dc.description | For an abelian variety $A$ over a function field $K$ of characteristic zero, Manin defined a remarkable additive map $A(K) \ra V$, where $V$ is a vector space over $K$. We define an analogue of this map in the case of function fields of characteristic $p$. We then prove that the reduction modulo $p$ of the Manin map in characteristic zero is the derivative of the Manin map in characteristic $p$ and that the kernel of the Manin map in characteristic $p$ is the group of points divisible by $p$. | |
| dc.description | 11 pages, LaTeX | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9407006 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9407006 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/149904 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Reduction of the Manin map modulo $p$ | |
| dc.type | text |