Stable extensions by line bundles
alg-geom
2008-02-03 v1 Algebraic Geometry
Abstract
Let C be an algebraic curve of genus g. Consider extensions E of a vector bundle F'' of rank n'' by a vector bundle F' of rank n'. The following statement was conjectured by Lange: If 0<n'deg F''-n''degF'\le n'n''(g-1), then there exist extensions like this with E stable. We prove this result for the generic curve when F' is a line bundle. Our method uses a degeneration argument to a reducible curve.
Cite
@article{arxiv.alg-geom/9705017,
title = {Stable extensions by line bundles},
author = {Montserrat Teixidor-i-Bigas},
journal= {arXiv preprint arXiv:alg-geom/9705017},
year = {2008}
}
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