Theoremes de connexites et varietes abeliennes
| dc.creator | Debarre, Olivier | |
| dc.date | 1993-09-01 | |
| dc.date | 1993-09-21 | |
| dc.date.accessioned | 2026-07-07T08:57:47Z | |
| dc.date.available | 2026-07-07T08:57:47Z | |
| dc.description | We prove a connexity theorem for abelian varieties in characteristic $0$: if $X$ is an abelian variety and $V\rightarrow X$ and $W\rightarrow X$ two morphisms, then, under certain hypotheses, the fiber product of $V$ and $W$ over $X$ is connected. This theorem has several consequences: the algebraic fundamental groups of a simple abelian variety $X$ and of a normal subvariety $V$ of $X$ of dimension $> dim(X)/2$ are isomorphic. The same holds when $V$ is a finite cover of degree $\le dim(X)$ of $X$. (The only difference between this replacement and the original submission is that one of the conjectures is now proved). | |
| dc.description | 17 pages, PlainTex 1.2 | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9309001 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9309001 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/147069 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Theoremes de connexites et varietes abeliennes | |
| dc.type | text |