25 citations · 76 across the 23 of their papers we have counts for
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math.AG2016★ 2 cited
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…
math.AG2016
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…
math.AG2016
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…