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2015

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cc-by-nc (c) Lahoz Vilalta, Martí et al., 2015
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/124871

Arithmetically Cohen-Macaulay bundles on cubic threefolds

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https://doi.org/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.

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Categories abelianes, Geometria algebraica

Subject (English)

Abelian categories, Algebraic geometry

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Articles publicats en revistes (Matemàtiques i Informàtica)

Citation

LAHOZ VILALTA, Martí, MACRÌ, Emanuele and STELLARI, Paolo. Arithmetically Cohen-Macaulay bundles on cubic threefolds. Algebraic Geometry. 2015. Vol. 2, num. 2, pags. 231-269. ISSN 2214-2584. [consulted: 8 of June of 2026]. Available at: https://hdl.handle.net/2445/124871

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