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arXiv · 1502.02257

ACM bundles on cubic threefolds

Martí Lahoz·Emanuele Macrì·Paolo Stellari
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Abstract

We study ACM bundles on cubic threefolds by using derived category techniques. We prove that the moduli space of stable Ulrich bundles of any rank is always non-empty by showing that it is birational to a moduli space of semistable torsion sheaves on the projective plane endowed with the action of a Clifford algebra. We describe this birational isomorphism via wall-crossing in the space of Bridgeland stability conditions, in the example of instanton sheaves of minimal charge.

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Martí Lahoz, Emanuele Macrì, Paolo Stellari. 2015-02-10. ACM bundles on cubic threefolds. https://arxiv.org/abs/1502.02257

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