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math.AG2025
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…
math.CV2025
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…
math.AG2025
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 $\…