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Journal Articles Bollettino dell'Unione Matematica Italiana. B Year : 2022

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.

Dates and versions

hal-02509876 , version 1 (17-03-2020)

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Arnaud Beauville. Vector bundles on Fano threefolds and K3 surfaces. Bollettino dell'Unione Matematica Italiana. B, 2022, 15 (1-2), pp.43-55. ⟨10.1007/s40574-020-00266-1⟩. ⟨hal-02509876⟩
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