12 citations · 21 across the 7 of their papers we have counts for
15 papers
Hypercomplex structures on Kaehler manifolds
Misha Verbitsky
Let (M,I) be a compact Kaehler manifold admitting a hypercomplex structure. We show that (M, I) admits a natural HKT-metric. This is used to construct a holomorphic symplectic form…
Stable bundles on positive principal elliptic fibrations
Misha Verbitsky
Let $M\stackrelπ\arrow X$ be a principal elliptic fibration over a Kaehler base . We assume that the Kaehler form on is lifted to an exact form on (such fibrations are c…
Subvarieties in non-compact hyperkaehler manifolds
Misha Verbitsky
Let M be a hyperkaehler manifold, not necessarily compact, and the set of complex structures induced by the quaternionic action. Trianalytic subvariety of M is a subv…
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…