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arXiv · 1803.07857

Ulrich and aCM bundles from invariant theory

Laurent Manivel
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Abstract

We use certain special prehomogeneous representations of algebraic groups in order to construct aCM vector bundles, possibly Ulrich, on certain families of hypersurfaces. Among other results, we show that a general cubic hypersurface of dimension seven admitsan indecomposable Ulrich bundle of rank nine, and that a general cubic fourfold admits an unsplit aCM bundle of rank six.

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Laurent Manivel. 2018-03-21. Ulrich and aCM bundles from invariant theory. https://arxiv.org/abs/1803.07857

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