161 citations · 898 across the 143 of their papers we have counts for
158 papers
Lagrangian fibrations on hyperkahler manifolds have no multiple fibers in codimension one
Ljudmila Kamenova, Misha Verbitsky
Let be a Lagrangian fibration on a compact hyperkahler manifold. We prove that has no multiple fibers in codimension 1. We prove that this condition…
Locally Conformally Kähler Manifolds of Algebraic Codimension One
Liviu Ornea, Misha Verbitsky, Victor Vuletescu
A locally conformally Kähler (LCK) manifold is a manifold which admits a Kähler structure on its universal cover , in such a way that the monodromy acts conformally o…
Projective subvarieties of Bogomolov-Guan manifolds and quasi-diagonals in products of elliptic curves
Leila Abubakarova, Alexandra Kuznetsova, Misha Verbitsky
We study complex subvarieties in certain non-Kahler holomorphically symplectic manifolds , called the Bogomolov-Guan manifolds. Let be an elliptic curve, an ample line b…
Coherent sheaves on subvarieties in Hopf manifolds
Liviu Ornea, Misha Verbitsky
We prove a version of GAGA theorem for a normal complex analytic variety equipped with an invertible holomorphic contraction with center in . We show that admits a n…
Reflective lattices and hyperkahler manifolds
Ekaterina Amerik, Andrey Soldatenkov, Misha Verbitsky
Using the results of Nikulin and Vinberg on the groups of isometries generated by reflections, we construct a subvariety called the Nikulin-Vinberg locus in the moduli space of pol…
Dolbeault formality for complex nilmanifolds
Tommaso Sferruzza, Misha Verbitsky
A quasi-isomorphism of differential graded algebras (DGA) is a multiplicative map inducing an isomorphism on cohomology. A DGA is called formal if it can be connected by a chain of…