  In this paper we further develop a Grassmannian technique used to prove
results about very general hypersurfaces and present three applications. First,
we provide a short proof of the Kobayashi Conjecture given previous results on
the Green-Griffiths-Lang Conjecture. Second, we characterize the dimension of
the space of Chow-equivalent points on a very general hypersurface, proving the
remaining cases of a conjecture of Chen, Lewis and Sheng and providing a short,
alternate proof for many of the already known cases. Finally, we relate
Seshadri constants of very general points to Seshadri constants of arbitrary
points of very general hypersurfaces.
