Vector bundles on the cubic threefold
By A. Beauville. 2000
58 citations recorded by the source corpus.
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.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/118fbf5568dc07edf7e95f1279bc56c2728c8bc8
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In Geometry and Topology
- Marta Casanellas
- Robin Hartshorne
- A. Beauville
- Rosa M. Mir'o-Roig Joan Pons-Llopis
- Claire Voisin
- Charles Vial
- M. Shen
- Giovanni Mongardi
In Mathematical Physics
- Marta Casanellas
- Robin Hartshorne
- A. Beauville
- Claire Voisin
- Rosa M. Mir'o-Roig Joan Pons-Llopis
- Charles Vial
- M. Shen
- Karl Schwede
Citations in the corpus
- An introduction to Ulrich bundles (2016, background): “They have a beautiful geometry, see [18] and also [5,10].”
- ACM bundles on cubic surfaces (2008, background): “By means of the Serre correspondence, rank 2 bundles on any variety are related to the study of codimension 2 subvarieties (see for example Beauville [4]).”