25 citations · 76 across the 23 of their papers we have counts for
4 papers · 1 filter
Kobayashi non-hyperbolicity of Calabi-Yau manifolds via mirror symmetry
Ljudmila Kamenova, Cumrun Vafa
A compact complex manifold is Kobayashi non-hyperbolic if there exists an entire curve on it. Using mirror symmetry we establish that there are (possibly singular) elliptic or rati…
Holomorphic Lagrangian subvarieties in holomorphic symplectic manifolds with Lagrangian fibrations and special Kahler geometry
Ljudmila Kamenova, Misha Verbitsky
Let be a holomorphic symplectic Kähler manifold equipped with a Lagrangian fibration with compact fibers. The base of this manifold is equipped with a special Kähler struct…
Twistor spaces and compact manifolds admitting both Kähler and non-Kähler structures
Ljudmila Kamenova
In this expository paper we review some twistor techniques and recall the problem of finding compact differentiable manifolds that can carry both Kähler and non-Kähler complex stru…
On the Kobayashi pseudometric, complex automorphisms and hyperkaehler manifolds
Fedor Bogomolov, Ljudmila Kamenova, Steven Lu +1
We define the Kobayashi quotient of a complex variety by identifying points with vanishing Kobayashi pseudodistance between them and show that if a compact complex manifold has an…