NORMAL BUNDLES OF RATIONAL CURVES IN PROJECTIVE SPACES

摘要

We determine the splitting (isomorphism) type of the normal bundle of a generic genus-0 curve with 1 or 2 componenfs in Pn, as well as the way the bundle deforms locally with a general deformation of the curve We deduce an enumerative formula for divisorial loci'of smooth rational curves whose normal bundle is of non-generic splitting type.