12 citations · 21 across the 7 of their papers we have counts for
13 papers · 1 filter
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…
A simple proof of stability of Fourier-Mukai transform
Misha Verbitsky
Paper is withdrawn due to errors (superseded by math.AG/0604303). Formula 6.5 is false. Section 6 is false, and the main statement is true only for bundles with SU(2)-…