Stability of Picard sheaves for vector bundles on curves

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 $\hat{E}$ on the Picard variety of the curve is stable. We introduce a homological tool for testing semistability of Picard sheaves.

arXiv comment11 pages