Arithmetically Cohen-Macaulay bundles on cubic threefolds
We study arithmetically Cohen-Macaulay 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 en...
| Authors: | , , |
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| Format: | article |
| Status: | Published version |
| Publication Date: | 2015 |
| Country: | España |
| Institution: | Universidad de Barcelona |
| Repository: | Dipòsit Digital de la UB |
| OAI Identifier: | oai:diposit.ub.edu:2445/124871 |
| Online Access: | https://hdl.handle.net/2445/124871 |
| Access Level: | Open access |
| Keyword: | Categories abelianes Geometria algebraica Abelian categories Algebraic geometry |
| Summary: | We study arithmetically Cohen-Macaulay 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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