Holomorphic symplectic geometry: a problem list

J. Wolf : Complex homogeneous contact manifolds and quaternionic symmetric spaces

1965

Earlier work this paper cites.

F. Bogomolov : The decomposition of Kähler manifolds with a trivial canonical class

1974

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F. Bogomolov : Hamiltonian Kählerian manifolds

1978

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S.-T. Yau : On the Ricci curvature of a compact Kähler manifold and the complex Monge-Ampère equation

1978

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A. Beauville : Variétés kählériennes dont la première classe de Chern est nulle

1983

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S. Mukai : Symplectic structure of the moduli space of sheaves on an abelian or K ​ 3 K3 surface

1984

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A. Beauville, R. Donagi : La variété des droites d’une hypersurface cubique de dimension

1985

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A. Beauville : Systèmes hamiltoniens complètement intégrables associés aux surfaces

1991

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C. LeBrun, S. Salamon : Strong rigidity of quaternion-Kähler manifolds

1994

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C. LeBrun : Fano manifolds, contact structures, and quaternionic geometry

1995

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F. Bogomolov : On the cohomology ring of a simple hyper-Kähler manifold (on the results of Verbitsky)

1996

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A. Polishchuk : Algebraic geometry of Poisson brackets

1997

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A. Beauville : Fano contact manifolds and nilpotent orbits

1998

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K. O’Grady : Desingularized moduli spaces of sheaves on a

1999

Cited alongside, same era.

S. Kebekus, T. Peternell, A. Sommese, J. Wiśniewski : Projective contact manifolds

2000

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D. Guan : On the Betti numbers of irreducible compact hyperkähler manifolds of complex dimension four

2001

Cited alongside, same era.

A. Iliev, K. Ranestad : K3 surfaces of genus 8 and varieties of sums of powers of cubic fourfolds

2001

Cited alongside, same era.

J.-P. Demailly : On the Frobenius integrability of certain holomorphic p p -forms

2002

Cited alongside, same era.

D. Kaledin, M. Lehn, C. Sorger : Singular symplectic moduli spaces

2006

Later among the works it cites.

D. Markushevich : Rational Lagrangian fibrations on punctual Hilbert schemes of K ​ 3 K3 surfaces

2006

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K. O’Grady : Irreducible symplectic 4-folds and Eisenbud-Popescu-Walter sextics

2006

Later among the works it cites.

A. Beauville : Riemannian holonomy and algebraic geometry

2007

Later among the works it cites.

A. Beauville : On the splitting of the Bloch-Beilinson filtration

2007

Later among the works it cites.

A. Iliev, K. Ranestad : Addendum to “K3 surfaces of genus 8 and varieties of sums of powers of cubic fourfolds”

2007

Later among the works it cites.