  Oka manifolds can be viewed as the "opposite" of Kobayashi hyperbolic
manifolds. Kobayashi asked whether the complement in projective space of a
generic hypersurface of sufficiently high degree is hyperbolic. Therefore it is
natural to investigate Oka properties of complements of low degree
hypersurfaces. We determine which complements of hyperplane arrangements in
projective space are Oka. A related question is which hypersurfaces in affine
space have Oka complements. We give some results for graphs of meromorphic
functions.
