Stability of Picard sheaves for vector bundles on curves

Georg Hein; David Ploog

Stability of Picard sheaves for vector bundles on curves

Algebraic Geometry 2015-11-23 v1

Authors: Georg Hein , David Ploog

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.

Keywords

Picard sheaves vector bundles algebraic curves stability semistability Picard variety homological methods

Cite

@article{arxiv.1511.06550,
  title  = {Stability of Picard sheaves for vector bundles on curves},
  author = {Georg Hein and David Ploog},
  journal= {arXiv preprint arXiv:1511.06550},
  year   = {2015}
}

Comments

11 pages

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