Vector bundles on Fano threefolds and K3 surfaces
Algebraic Geometry
2019-08-08 v2
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.
Cite
@article{arxiv.1906.03594,
title = {Vector bundles on Fano threefolds and K3 surfaces},
author = {Arnaud Beauville},
journal= {arXiv preprint arXiv:1906.03594},
year = {2019}
}
Comments
Results of {\S}7 improved and extended using the paper [B-F] by Brambilla and Faenzi