Stability of coisotropic fibrations on holomorphic symplectic manifolds

• Christian Lehn ^[1] ; Gianluca Pacienza ^[2]
  1. [1] Chemnitz University of Technology

     Chemnitz University of Technology

     Kreisfreie Stadt Chemnitz, Alemania

     
  2. [2] University of Lorraine

     University of Lorraine

     Arrondissement de Nancy, Francia

     
• Localización: Annali della Scuola Normale Superiore di Pisa. Classe di scienze, ISSN 0391-173X, Vol. 19, Nº 3, 2019, págs. 965-980
• Idioma: inglés
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• Resumen

  • 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