Sections of Lagrangian fibrations on holomorphically symplectic manifolds and degenerate twistorial deformations

DOI10.1016/j.aim.2022.108479zbMath1497.14012arXiv2011.00469OpenAlexW3096586423MaRDI QIDQ2155180

Rodion N. Déev, Fedor A. Bogomolov, Misha Verbitsky

Publication date: 15 July 2022

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.00469

zbMATH Keywords

Holomorphic symplectic manifolds

Mathematics Subject Classification ID

Compact Kähler manifolds: generalizations, classification (32J27) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30)

Cites Work

• Base manifolds for fibrations of projective irreducible symplectic manifolds
• Compact fibrations with hyperkähler fibers
• Webs of Lagrangian tori in projective symplectic manifolds
• The nilpotent cone in the Mukai system of rank two and genus two
• The Hodge numbers of O'Grady 10 via Ngô strings
• Hyperkähler SYZ conjecture and semipositive line bundles
• Degenerate twistor spaces for hyperkähler manifolds
• Families of Lagrangian fibrations on hyperkähler manifolds
• Isotriviality of certain Kählerian families of nonprojective manifolds
• Lagrangian fibrations on hyperk\"ahler manifolds - On a question of Beauville
• MULTIPLE FIBERS OF HOLOMORPHIC LAGRANGIAN FIBRATIONS
• Desingularized moduli spaces of sheaves on a K3
• Higher direct images of dualizing sheaves of Lagrangian fibrations
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