3 citations · 3 across the 6 of their papers we have counts for
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Sections of Lagrangian fibrations on holomorphic symplectic manifolds
Fedor Bogomolov, Ljudmila Kamenova, Misha Verbitsky
Let be a holomorphically symplectic manifold, equipped with a Lagrangian fibration . A degenerate twistor deformation (sometimes also called ``a Tate-Shafarevich…
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…
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…
Minimal multiplicity of fiber components in abelian fibrations
Frederic Campana, Ljudmila Kamenova, Misha Verbitsky
An abelian fibration is a proper projective surjective map of complex varieties with general fiber an abelian variety. Consider a multiple fiber of an abelian fibration, and let $m…
The abundance and SYZ conjectures in families of hyperkahler manifolds
Andrey Soldatenkov, Misha Verbitsky
Let be a holomorphic line bundle on a hyperkahler manifold , with nef and not big. SYZ conjecture predicts that is semiample. We prove that this is true, assumi…