ACM bundles on cubic threefolds
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.
Cite
@article{arxiv.1502.02257,
title = {ACM bundles on cubic threefolds},
author = {Martí Lahoz and Emanuele Macrì and Paolo Stellari},
journal= {arXiv preprint arXiv:1502.02257},
year = {2015}
}
Comments
40 pages. The previous version contained a typo in the name of the first author, which has been corrected. This paper consists of the first three sections of the previous version of arXiv:1303.6998 which was split into two different papers. Final version to appear in Algebraic Geometry