On nef reductions of projective irreducible symplectic manifolds

DOI10.1007/s00209-007-0160-1zbMath1129.14013arXivmath/0601114OpenAlexW2044798756MaRDI QIDQ2465392

Daisuke Matsushita

Publication date: 4 January 2008

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0601114

zbMATH Keywords

symplectic manifoldLagrangian fibrationnef divisornef reduction

Mathematics Subject Classification ID

Compact complex (n)-folds (32J18) Minimal model program (Mori theory, extremal rays) (14E30) Divisors, linear systems, invertible sheaves (14C20) (n)-folds ((n>4)) (14J40)

Related Items (3)

On families of Lagrangian tori on hyperkähler manifolds ⋮ On almost holomorphic Lagrangian fibrations ⋮ Hyperkähler SYZ conjecture and semipositive line bundles

Cites Work

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• Variétés kähleriennes dont la première classe de Chern est nulle
• Pluricanonical systems on minimal algebraic varieties
• Crepant blowing-up of 3-dimensional canonical singularities and its application to degenerations of surfaces
• Compact hyperkähler manifolds: Basic results
• On fibre space structures of a projective irreducible symplectic manifold
• Rational Lagrangian fibrations on punctual Hilbert schemes of \(K3\) surfaces
• Lagrangian fibrations on generalized Kummer varieties
• Lagrangian fibrations on Hilbert schemes of points on K3 surfaces

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