Deformations of holomorphic Lagrangian fibrations

DOI10.1090/S0002-9939-08-09473-2zbMath1171.53036arXivmath/0509223MaRDI QIDQ3600609

Justin Sawon

Publication date: 5 February 2009

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0509223

zbMATH Keywords

Lagrangian fibrationirreducible holomorphic symplectic manifolddeformations of fibrations

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Symplectic manifolds (general theory) (53D05) Symplectic and contact topology in high or arbitrary dimension (57R17) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Fibrations, degenerations in algebraic geometry (14D06) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Related Items (6)

Singular fibers of very general Lagrangian fibrations ⋮ Picard number of the generic fiber of an abelian fibered hyperkähler manifold ⋮ Birational geometry of the intermediate Jacobian fibration of a cubic fourfold (appendix by Claire Voisin) ⋮ Twisted Fourier-Mukai transforms for holomorphic symplectic four-folds ⋮ A finiteness theorem for Lagrangian fibrations ⋮ Fibrations on four-folds with trivial canonical bundles

Cites Work

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• Variétés kähleriennes dont la première classe de Chern est nulle
• Topological invariants of O'Grady's six dimensional irreducible symplectic variety
• Coreduction algébrique d'un espace analytique faiblement Kählerien compact
• On fibre space structures of a projective irreducible symplectic manifold
• Lagrangian families of Jacobians of genus 2 curves
• Equidimensionality of Lagrangian fibrations on holomorphic symplectic manifolds
• Calabi-Yau manifolds and related geometries. Lectures at a summer school in Nordfjordeid, Norway, June 2001
• Counting rational curves on \(K3\) surfaces
• Twisted Fourier-Mukai transforms for holomorphic symplectic four-folds
• Isotriviality of certain Kählerian families of nonprojective manifolds
• SHIODA-TATE FORMULA FOR AN ABELIAN FIBERED VARIETY AND APPLICATIONS
• On the Euler characteristic of generalized Kummer varieties
• Higher direct images of dualizing sheaves of Lagrangian fibrations

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