Stability of coisotropic fibrations on holomorphic symplectic manifolds

Abstract

We investigate the stability of fibers of coisotropic fibrations on irreducible symplectic manifolds and generalize Voisin’s result on Lagrangian subvarieties to this framework. We present applications to such manifolds which are deformation equivalent to Hilbert schemes of points on a K3 surface or to generalized Kummer manifolds