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

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dc.creatorLekaus, Silke
dc.date2000-07-01
dc.date.accessioned2026-07-25T22:49:13Z
dc.descriptionM. 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.descriptionLatex2e, 7 pages
dc.identifierhttps://arxiv.org/abs/math/0007002
dc.identifierhttp://arxiv.org/abs/math/0007002
dc.identifier.urihttps://dspace.dare.co.zw/handle/123456789/92817
dc.subjectAlgebraic Geometry
dc.titleRelation between the dimensions of the ring generated by a vector bundle of degree zero on an elliptic curve and a torsor trivializing this bundle
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