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math.AG2024
Sections of Lagrangian fibrations on holomorphic symplectic manifolds
Fedor Bogomolov, Ljudmila Kamenova, Misha Verbitsky
Let be a holomorphically symplectic manifold, equipped with a Lagrangian fibration . A degenerate twistor deformation (sometimes also called ``a Tate-Shafarevich…
math.AG2024
Some density results for hyperkähler manifolds
Yajnaseni Dutta, Elham Izadi, Ljudmila Kamenova +1
Lagrangian fibrations of hyperkähler manifolds are induced by semi-ample line bundles which are isotropic with respect to the Beauville-Bogomolov-Fujiki form. For a non-isotrivial…