Holomorphic symplectic geometry: a problem list

Conference paper
Part of the Springer Proceedings in Mathematics book series (PROM, volume 8)


The usual structures of symplectic geometry (symplectic, contact, Poisson) make sense for complex manifolds; they turn out to be quite interesting on projective, or compact Kähler, manifolds. In these notes we review some of the recent results on the subject, with emphasis on the open problems and conjectures.


symplectic contact Poisson manifolds hyperkähler manifolds Fujiki constant Lagrangian fibration quaternion-Kähler manifolds 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  1. 1.Laboratoire J.-A. Dieudonné (UMR 6621 du CNRS)Université de NiceNice cedex 2France

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