Local projectivity of Lagrangian fibrations on hyperkähler manifolds

DOI10.1007/s00229-020-01199-xzbMath1459.14004arXiv1712.01902OpenAlexW3017008158MaRDI QIDQ2226563

Frédéric Campana

Publication date: 8 February 2021

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.01902

zbMATH Keywords

Lagrangian fibrationlocal projectivity

Mathematics Subject Classification ID

Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Fibrations, degenerations in algebraic geometry (14D06) Compact Kähler manifolds: generalizations, classification (32J27) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Transcendental methods of algebraic geometry (complex-analytic aspects) (32J25) Abelian varieties and schemes (14K99)

Cites Work

• Deformations of Lagrangian subvarieties of holomorphic symplectic manifolds
• Higher direct images of dualizing sheaves. I
• Über Modifikationen und exzeptionelle analytische Mengen
• Isotriviality of certain Kählerian families of nonprojective manifolds

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