# Vector bundles on Fano threefolds and K3 surfaces

@article{Beauville2019VectorBO,
title={Vector bundles on Fano threefolds and K3 surfaces},
author={Arnaud Beauville},
journal={arXiv: Algebraic Geometry},
year={2019}
}
• A. Beauville
• Published 2019
• Mathematics
• arXiv: Algebraic Geometry
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.
3 Citations
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