25 citations · 76 across the 23 of their papers we have counts for
4 papers · 1 filter
Pullbacks of hyperplane sections for Lagrangian fibrations are primitive
Ljudmila Kamenova, Misha Verbitsky
Let p: M -> B be a Lagrangian fibration on a hyperkahler manifold of maximal holonomy (also known as IHS), and H the generator of the Picard group of B. We prove that the pullback…
Survey of finiteness results for hyperkähler manifolds
Ljudmila Kamenova
This paper is a survey of finiteness results in hyperkähler geometry. We review some classical theorems by Sullivan, Kollár-Matsusaka, Huybrechts, as well as theorems in the recent…
Algebraic non-hyperbolicity of hyperkahler manifolds with Picard rank greater than one
Ljudmila Kamenova, Misha Verbitsky
A projective manifold is algebraically hyperbolic if the degree of any curve is bounded from above by its genus times a constant, which is independent from the curve. This is a pro…
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…