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arXiv · 1906.03594

Vector bundles on Fano threefolds and K3 surfaces

Arnaud Beauville
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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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Arnaud Beauville. 2019-06-09. Vector bundles on Fano threefolds and K3 surfaces. https://arxiv.org/abs/1906.03594

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