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- W4286989232 abstract "A C-symplectic structure is a complex-valued 2-form which is holomorphically symplectic for an appropriate complex structure. We prove an analogue of Moser's isotopy theorem for families of C-symplectic structures and list several applications of this result. We prove that the degenerate twistorial deformation associated to a holomorphic Lagrangian fibration is locally trivial over the base of this fibration. This is used to extend several theorems about Lagrangian fibrations, known for projective hyperkahler manifolds, to the non-projective case. We also exhibit new examples of non-compact complex manifolds with infinitely many pairwise non-birational algebraic compactifications." @default.
- W4286989232 created "2022-07-25" @default.
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- W4286989232 date "2021-09-02" @default.
- W4286989232 modified "2023-10-17" @default.
- W4286989232 title "The Moser isotopy for holomorphic symplectic and C-symplectic structures" @default.
- W4286989232 doi "https://doi.org/10.48550/arxiv.2109.00935" @default.
- W4286989232 hasPublicationYear "2021" @default.
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