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Vector bundles on the cubic threefold

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arxiv math/0005017 v1 pith:I6NB66WG submitted 2000-05-02 math.AG

Arnaud Beauville This is my paper · ORCID
classification math.AG
keywords bundlescubicresultsspacethreefoldvectoralongapplications
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Let X be a smooth cubic threefold, M the moduli space of stable rank 2 vector bundles on X with trivial determinant and c_2=2 (the smallest value for which this space is non-empty). Recent results of Druel, Iliev, Markushevich and Tikhomirov lead to a precise description of M and its Maruyama compactification M': the latter is isomorphic to the intermediate Jacobian of X blown-up along the Fano surface. In this survey paper we explain these results and discuss some applications.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. The finite degree formula for normalized volumes

    math.AG 2026-07 accept novelty 8.0 of 10

    For finite crepant morphisms of klt singularities, normalized volume scales exactly by the degree of the morphism.

  2. A note on geometry of Bridgeland Moduli spaces on Gushel-Mukai threefolds

    math.AG 2026-08 conditional novelty 6.0 of 10

    For general Gushel-Mukai threefolds, Bridgeland moduli spaces on the Kuznetsov component are normal, and for primitive numerical classes of odd square they are irreducible.

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