Subvarieties of general hypersurfaces in projective space
Subvarieties of general hypersurfaces in projective space
Clemens' Conjecture.On a generic quintic 3-fold in a projective 4space P , there are only finite number of rational curves in each degree.This assertion has been proved by Katz for degree up to 7 (cf.[7], [13], [15]).Mark Green has asked the following:Question.Does every surface on a generic quintic 3-fold in …