Stability of Picard sheaves for vector bundles on curves

2015/11/20 by Georg Hein, Hein, Georg, David Ploog +1
Mathematics · #14F05 #14H60 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14F05 #msc:14H60

paper · pdf · doi:10.48550/arxiv.1511.06550

11 pages

arxiv created 2015/11/20 · arxiv updated 2015/11/23

Abstract

We show that for any stable sheaf E of slope > 2g-1 on a smooth, projective curve of genus g, the associated Picard sheaf E on the Picard variety of the curve is stable. We introduce a homological tool for testing semistability of Picard sheaves.

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