Normal bundles of rational curves in projective spaces
Algebraic Geometry
2007-05-23 v1
Abstract
We determine the splitting (isomorphism) type of the normal bundle of a generic genus-0 curve with 1 or 2 components in any projective space, as well as the (sometimes nontrivial) 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.
Keywords
Cite
@article{arxiv.math/0310054,
title = {Normal bundles of rational curves in projective spaces},
author = {Ziv Ran},
journal= {arXiv preprint arXiv:math/0310054},
year = {2007}
}
Comments
42 pages