Base manifolds for fibrations of projective irreducible symplectic manifolds

DOI10.1007/s00222-008-0143-9zbMath1161.14029arXiv0711.3224OpenAlexW2029168784MaRDI QIDQ1006315

Jun-Muk Hwang

Publication date: 20 March 2009

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0711.3224

zbMATH Keywords

Lagrangian fibrationholomorphic symplectic manifold

Mathematics Subject Classification ID

Fano varieties (14J45) (n)-folds ((n>4)) (14J40)

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Cites Work

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• On fibre space structures of a projective irreducible symplectic manifold
• Projective algebraic varieties whose universal covering spaces are biholomorphic to \(\mathbb{C}^n\)
• Equidimensionality of Lagrangian fibrations on holomorphic symplectic manifolds
• Cartan-Fubini type extension of holomorphic maps for Fano manifolds of Picard number 1.
• Birationality of the tangent map for minimal rational curves
• Deformation of holomorphic maps onto Fano manifolds of second and fourth Betti numbers 1
• Rational curves of minimal degree and characterizations of projective spaces
• Infinitesimale Transformationsgruppen komplexer Räume
• Characteristic foliation on the discriminant hypersurface of a holomorphic Lagrangian fibration
• Hecke curves and Hitchin discriminant
• Higher direct images of dualizing sheaves of Lagrangian fibrations

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