Brill-Noether theory and non-special scrolls

Details Brill-Noether theory and non-special scrolls Brill-Noether theory and non-special scrolls

2007-12-13

arxiv.org/abs/0712.2106v1

Mathematics

Algebraic Geometry

16 pages, Latex2e, Submitted preprint

Scientific paper

In this paper we study the Brill-Noether theory of sub-line bundles of a
general, stable rank-two vector bundle on a curve C with general moduli. We
relate this theory to the geometry of unisecant curves on smooth, non-special
scrolls with hyperplane sections isomorphic to C. Most of our results are based
on degeneration techniques.

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