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Regular version of the site

Article

On families of lagrangian tori on hyperkähler manifolds

Journal of Geometry and Physics. 2013. Vol. 71. No. September. P. 53-57.
Amerik, E., Campana, F.

This is a note on Beauville's problem (solved by Greb, Lehn, and Rollenske in the non-algebraic case, and by Hwang and Weiss in general) whether a lagrangian torus on an irreducible holomorphic symplectic manifold is a fiber of a lagrangian fibration. We provide a different very short solution in the non-algebraic case, and make some observations suggesting a different approach in the algebraic case. © 2013 Elsevier B.V.