Relation between the dimensions of the ring generated by a vector bundle of degree zero on an elliptic curve and a torsor trivializing this bundle
| dc.creator | Lekaus, Silke | |
| dc.date | 2000-07-01 | |
| dc.date.accessioned | 2026-07-07T04:36:11Z | |
| dc.date.available | 2026-07-07T04:36:11Z | |
| dc.description | M. Nori proved that on a projective smooth variety, a bundle is finite, (that is the ring it generates has dimension 0), if and only if it trivializes on a finite cover. In this note, we consider bundles of degree 0 on an elliptic curve. We prove that the dimension of the ring generated by such a bundle is the same as the dimension of a torsor trivializing the bundle (and is 1). | |
| dc.description | Latex2e, 7 pages | |
| dc.identifier | https://arxiv.org/abs/math/0007002 | |
| dc.identifier | http://arxiv.org/abs/math/0007002 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/59511 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Relation between the dimensions of the ring generated by a vector bundle of degree zero on an elliptic curve and a torsor trivializing this bundle | |
| dc.type | text |