Brill--Noether loci of stable rank--two vector bundles on a general curve

Details Brill--Noether loci of stable rank--two vector bundles on a general curve Brill--Noether loci of stable rank--two vector bundles on a general curve

2011-09-29

arxiv.org/abs/1109.6466v1

Mathematics

Algebraic Geometry

9 pages, submitted preprint

Scientific paper

In this note we give an easy proof of the existence of generically smooth
components of the expected dimension of certain Brill--Noether loci of stable
rank 2 vector bundles on a curve with general moduli, with related applications
to Hilbert scheme of scrolls.

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