25 citations · 76 across the 23 of their papers we have counts for
Showing 2019Show all
3 papers · 1 filter
math.DG2019★ 1 cited
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…
math.AG2019★ 19 cited
Boundedness in families with applications to arithmetic hyperbolicity
Raymond van Bommel, Ariyan Javanpeykar, Ljudmila Kamenova
Motivated by conjectures of Demailly, Green-Griffiths, Lang, and Vojta, we show that several notions related to hyperbolicity behave similarly in families. We apply our results to…
math.DG2019★ 1 cited
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…