Data di Pubblicazione:
2015
Citazione:
Arithmetically Cohen-Macaulay bundles on cubic threefolds / M. Lahoz, E. Macrì, P. Stellari. - In: ALGEBRAIC GEOMETRY. - ISSN 2214-2584. - 2:2(2015), pp. 231-269. [10.14231/AG-2015-011]
Abstract:
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.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
arithmetically Cohen-Macaulay vector bundles; cubic threefolds
Elenco autori:
M. Lahoz, E. Macrì, P. Stellari
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