Frankel conjecture

The Frankel conjecture is a hypothesis in differential geometry, specifically related to the topology of certain kinds of manifolds. It was proposed by Theodore Frankel in the 1950s and pertains to Kähler manifolds, which are complex manifolds that have a hermitian metric whose imaginary part is a closed differential form. The conjecture states that if a Kähler manifold has a Kähler class that is ample, then any morphism from the manifold to a projective space is surjective.