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arXiv · 2103.07787

Discriminant of Tautological Bundles on Symmetric Products of Curves

Andreas Krug
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Abstract

We compute a formula for the discriminant of tautological bundles on symmetric powers of a complex smooth projective curve. It follows that the Bogomolov inequality does not give a new restriction to stability of these tautological bundles. It only rules out tautological bundles which are already known to have the structure sheaf as a destabilising subbundle.

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Andreas Krug. 2021-03-13. Discriminant of Tautological Bundles on Symmetric Products of Curves. https://arxiv.org/abs/2103.07787

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