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http://hdl.handle.net/2445/124871
Title: | Arithmetically Cohen-Macaulay bundles on cubic threefolds |
Author: | Lahoz Vilalta, Martí Macrì, Emanuele Stellari, Paolo |
Keywords: | Categories abelianes Geometria algebraica Abelian categories Algebraic geometry |
Issue Date: | 2015 |
Publisher: | Foundation Compositio Mathematica |
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. |
Note: | Reproducció del document publicat a: https://doi.org/10.14231/AG-2015-011 |
It is part of: | Algebraic Geometry, 2015, vol. 2, num. 2, p. 231-269 |
URI: | http://hdl.handle.net/2445/124871 |
Related resource: | https://doi.org/10.14231/AG-2015-011 |
ISSN: | 2214-2584 |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
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