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- W3100908032 abstract "For a Lagrangian torus A in a simply-connected projective symplectic manifold M, we prove that M has a hypersurface disjoint from a deformation of A. This implies that a Lagrangian torus in a compact hyperkahler manifold is a fiber of an almost holomorphic Lagrangian fibration, giving an affirmative answer to a question of Beauville's. Our proof employs two different tools: the theory of action-angle variables for algebraically completely integrable Hamiltonian systems and Wielandt's theory of subnormal subgroups." @default.
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- W3100908032 date "2012-05-30" @default.
- W3100908032 modified "2023-09-28" @default.
- W3100908032 title "Webs of Lagrangian tori in projective symplectic manifolds" @default.
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- W3100908032 doi "https://doi.org/10.1007/s00222-012-0407-2" @default.
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