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Complex and Differential Geometry pp 49–63Cite as

Holomorphic symplectic geometry: a problem list

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

Abstract

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.

Mathematics Subject Classification (2010) Primary 32J27. Secondary 14J32, 53C26, 53D35.

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Authors and Affiliations

  1. Laboratoire J.-A. Dieudonné (UMR 6621 du CNRS), Université de Nice, Parc Valrose, F-06108, Nice cedex 2, France

    Arnaud Beauville

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  1. Arnaud Beauville
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Correspondence to Arnaud Beauville .

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Editors and Affiliations

  1. , Institut für Algebraische Geometrie, Leibniz Universität Hannover, Welfengarten 1, Hannover, 30167, Germany

    Wolfgang Ebeling

  2. FB Mathematik, Inst. Mathematik, Universität Hannover, Welfengarten 1, Hannover, 30167, Germany

    Klaus Hulek

  3. , Institut für Differentialgeometrie, Leibniz Universität Hannover, Welfengarten 1, Hannover, 30167, Germany

    Knut Smoczyk

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Beauville, A. (2011). Holomorphic symplectic geometry: a problem list. In: Ebeling, W., Hulek, K., Smoczyk, K. (eds) Complex and Differential Geometry. Springer Proceedings in Mathematics, vol 8. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-20300-8_2

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