4 papers
Geometry and automorphisms of non-Kähler holomorphic symplectic manifolds
Fedor Bogomolov, Nikon Kurnosov, Alexandra Kuznetsova +1
We consider the only one known class of non-Kähler irreducible holomorphic symplectic manifolds, described in the works of D. Guan and the first author. Any such manifold of di…
Deformations and BBF form on non-Kahler holomorphically symplectic manifolds
Nikon Kurnosov, Misha Verbitsky
In 1995, Dan Guan constructed examples of non-Kahler, simply-connected holomorphically symplectic manifolds. An alternative construction, using the Hilbert scheme of Kodaira-Thurst…
Lagrangian fibrations for IHS fourfolds
Fedor Bogomolov, Nikon Kurnosov
In this paper we study the Lagrangian fibrations for projective irreducible symplectic fourfolds and exclude the case of non-smooth base. Our method could be extended to the higher…
Automorphisms of hyperkähler manifolds and groups acting on CAT(0) spaces
Nikon Kurnosov, Egor Yasinsky
We study groups of bimeromorphic and biholomorphic automorphisms of projective hyperkähler manifolds. Using an action of these groups on some non-positively curved space, we deduce…