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math.AG2001
Fujiki relation on symplectic varieties
Daisuke Matsushita
We generalize Fujiki relation of Beauville-Bogomolov quadratic form on a projective symplectic variety. As an application, we study a fibre space structure of a projective symplect…
math.AG1999
On singular fibres of complex Lagrangian fibrations
Daisuke Matsushita
We classify singular fibres over general points of the discriminant locus of projective complex Lagrangian fibrations on 4-dimensional holomorphic symplectic manifolds. The singula…
math.AG1999
Addendum to: On fibre space structures of a projective irreducible symplectic manifold
Daisuke Matsushita
In this note, we prove that every fibre space structures of a projective irreducible symplectic manifold is a lagrangian fibration.