By Ljudmila Kamenova and Misha Verbitsky at

Misha

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 property which follows from Kobayashi hyperbolicity. We prove that hyperkahler manifolds are non algebraically hyperbolic when the Picard rank... Show more

April 18, 2016

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Algebraic non-hyperbolicity of hyperkahler manifolds with Picard rank greater than one

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