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- W4308481921 abstract "A parabolic automorphism of a hyperkahler manifold is a holomorphic automorphism acting on $H^2(M)$ by a non-semisimple quasi-unipotent linear map. We prove that a parabolic automorphism which preserves a Lagrangian fibration acts on its fibers ergodically. The invariance of a Lagrangian fibration is automatic for manifolds satisfying the hyperkahler SYZ conjecture; this includes all known examples of hyperkahler manifolds. When there are two parabolic automorphisms preserving two distinct Lagrangian fibration, it follows that the group they generate acts on $M$ ergodically. Our results generalize those obtained by S. Cantat for K3 surfaces." @default.
- W4308481921 created "2022-11-12" @default.
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- W4308481921 date "2021-12-03" @default.
- W4308481921 modified "2023-09-26" @default.
- W4308481921 title "Parabolic automorphisms of hyperkahler manifolds" @default.
- W4308481921 doi "https://doi.org/10.48550/arxiv.2112.01951" @default.
- W4308481921 hasPublicationYear "2021" @default.
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