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Holomorphic Symplectic Manifolds Marco Andreatta
 

Summary: Holomorphic Symplectic Manifolds
Marco Andreatta
joint project with J. Wi´sniewski
Dipartimento di Matematica
Universit´a di Trento
Holomorphic Symplectic Manifolds ­ p.1/35
Definitions
An holomorphic symplectic manifold X
is a kähler manifold X with a holomorphic non degenerate
closed form H0
(X, 2
X)
An irreducible holomorphic symplectic manifold X
is compact and H0
(X,
X) = C[]
(eq. X is simply connected and < >= H0
(X, 2
X)).
Holomorphic Symplectic Manifolds ­ p.2/35

  

Source: Andreatta, Marco - Dipartimento di Matematica, Università di Trento

 

Collections: Mathematics