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Vector bundles on Fano threefolds and K3 surfaces

Abstract : Let X be a Fano threefold, and let S be a K3 surface in X . Any moduli space M of simple vector bundles on S carries a holomorphic symplectic structure. Following an idea of Tyurin, we show that in some cases, those vector bundles which come from X form a Lagrangian subvariety of M . We illustrate this with a number of concrete examples.
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Preprints, Working Papers, ...
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Contributor : Arnaud Beauville <>
Submitted on : Tuesday, March 17, 2020 - 11:41:36 AM
Last modification on : Monday, October 12, 2020 - 10:27:34 AM

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  • HAL Id : hal-02509876, version 1
  • ARXIV : 1906.03594



Arnaud Beauville. Vector bundles on Fano threefolds and K3 surfaces. 2020. ⟨hal-02509876⟩



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