On nef reductions of projective irreducible symplectic manifolds
classification
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keywords
dimensionirreducibleprojectivesymplecticassumedivisorlessmanifold
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Let X be a projective irreducible symplectic manifold and L a non trivial nef divisor on X. Assume that the nef dimension of L is strictly less than the dimension of X. We prove that L is semiample
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