161 citations · 898 across the 143 of their papers we have counts for
4 papers · 1 filter
A global Torelli theorem for hyperkahler manifolds
Misha Verbitsky
A mapping class group of an oriented manifold is a quotient of its diffeomorphism group by the isotopies. We compute a mapping class group of a hypekahler manifold , showing tha…
Parabolic nef currents on hyperkaehler manifolds
Misha Verbitsky
Let M be a compact, holomorphically symplectic Kahler manifold, and a (1,1)-current which is nef (a limit of Kahler forms). Assume that the cohomology class of is parabolic…
Automorphisms of locally conformally Kahler manifolds
Liviu Ornea, Misha Verbitsky
A manifold M is locally conformally Kahler (LCK) if it admits a Kahler covering with monodromy acting by holomorphic homotheties. For a compact connected group G acting on an LCK m…
Topology of locally conformally Kahler manifolds with potential
Liviu Ornea, Misha Verbitsky
Locally conformally Kahler (LCK) manifolds with potential are those which admit a Kahler covering with a proper, automorphic Kaehler potential. Existence of a potential can be char…