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

2011/09/29 by Ciro Ciliberto, Ciliberto, Ciro, Flaminio Flamini +1
Mathematics · #14C05 #14D06 #14D20 #14H60 #14J26 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14C05 #msc:14D06 #msc:14D20 #msc:14H60 #msc:14J26

paper · pdf · doi:10.48550/arxiv.1109.6466

9 pages, submitted preprint

arxiv created 2011/09/29 · arxiv updated 2011/09/30

Abstract

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.

Related

• Excess dimensions of Brill--Noether schemes of rank two stable bundles
• Moduli spaces of bundles and Hilbert schemes of scrolls over ν-gonal curves
• Brill-Noether loci of rank two vector bundles on a general ν-gonal curve
• Extensions of line bundles and Brill--Noether loci of rank-two vector bundles on a general curve
• Excess dimensions for Brill-Noether schemes of stable vector bundles