English

Stability of coisotropic fibrations on holomorphic symplectic manifolds

Algebraic Geometry 2016-01-26 v2

Abstract

We investigate the stability of fibers of coisotropic fibrations on holomorphic symplectic manifolds and generalize Voisin's result on Lagrangian subvarieties to this framework. We present applications to the moduli space of holomorphic symplectic manifolds which are deformations equivalent to Hilbert schemes of points on a K3K3 surface or to generalized Kummer manifolds.

Keywords

Cite

@article{arxiv.1512.08672,
  title  = {Stability of coisotropic fibrations on holomorphic symplectic manifolds},
  author = {Christian Lehn and Gianluca Pacienza},
  journal= {arXiv preprint arXiv:1512.08672},
  year   = {2016}
}

Comments

Minor changes in the Introduction and in the body of the paper to improve the presentation of the results