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arXiv · 1511.06550

Stability of Picard sheaves for vector bundles on curves

Georg Hein·David Ploog
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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.

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Georg Hein, David Ploog. 2015-11-20. Stability of Picard sheaves for vector bundles on curves. https://arxiv.org/abs/1511.06550

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