Antisymplectic involutions of holomorphic symplectic manifolds
Algebraic Geometry
2014-02-26 v3
Abstract
Let X be a holomorphic symplectic manifold, of dimension divisible by 4, and s an antisymplectic involution of X . The fixed locus F of s is a Lagrangian submanifold of X ; we show that its \^A-genus is 1. As an application, we determine all possibilities for the Chern numbers of F when X is a deformation of the Hilbert square of a K3 surface.
Keywords
Cite
@article{arxiv.1008.3108,
title = {Antisymplectic involutions of holomorphic symplectic manifolds},
author = {Arnaud Beauville},
journal= {arXiv preprint arXiv:1008.3108},
year = {2014}
}
Comments
Final version, accepted for publication by the Journal of Topology