2 citations · 3 across the 10 of their papers we have counts for
22 papers
Lagrangian fibrations on hyperkahler manifolds have no multiple fibers in codimension one
Ljudmila Kamenova, Misha Verbitsky
Let be a Lagrangian fibration on a compact hyperkahler manifold. We prove that has no multiple fibers in codimension 1. We prove that this condition…
Correspondences for hyperkähler varieties with large Picard numbers
Ljudmila Kamenova, Abhinav Kumar
In this note, we explore the connection between hyperkähler manifolds with large Picard numbers and abelian varieties. In particular, we are interested in Morrison's solution to th…
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…
On anti-hyperbolicity for hyperkähler varieties
Ljudmila Kamenova, Steven Lu
By restricting to (a linear subspace of) an affine chart in projective space, a complex stably rational or unirational manifold of dimension is meromorphically dominable by $\m…
Torsor Neron models of hyperkahler manifolds
Ljudmila Kamenova, Misha Verbitsky
Let be a compact hyperkahler manifold equipped with a Lagrangian fibration , and the smooth locus of . We prove that over a complement to a codimension $\…
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…