12 citations · 21 across the 7 of their papers we have counts for
4 papers · 1 filter
Coherent sheaves on generic compact tori
Misha Verbitsky
Let T be a compact complex torus, dim T>2. We show that the category of coherent sheaves on T is independent of the choice of the complex structure, if this complex structure is ge…
Immersion theorem for Vaisman manifolds
L. Ornea, M. Verbitsky
A locally conformally Kaehler (LCK) manifold is a complex manifold admitting a Kaehler covering M, with monodromy acting on M by Kaehler homotheties. A compact LCK manifold is Vais…
Hyperkaehler manifolds with torsion obtained from hyperholomorphic bundles
Misha Verbitsky
We construct examples of compact hyperkaehler manifolds with torsion (HKT manifolds) which are not homogeneous and not locally conformal hyperkaehler. Consider a total space T of a…
Vanishing theorems for locally conformal hyperkaehler manifolds
Misha Verbitsky
Let M be a compact locally conformal hyperkaehler manifold. We prove a version of Kodaira-Nakano vanishing theorem for M. This is used to show that M admits no holomorphic differen…