English

Existence results for rational normal curves

Algebraic Geometry 2007-05-23 v1 Commutative Algebra

Abstract

In this paper we study existence and uniqueness of rational normal curves in \PPn\PP^n passing through pp points and intersecting ll codimension two linear spaces in n1n-1 points each. If p+l=n+3p+l=n+3 and the points and the linear spaces are generic, one expects the curve to exist, but this is not always the case. Our main result precisely describes in which cases the curve exists and in which it does not exist.

Keywords

Cite

@article{arxiv.math/0603137,
  title  = {Existence results for rational normal curves},
  author = {E. Carlini and M. V. Catalisano},
  journal= {arXiv preprint arXiv:math/0603137},
  year   = {2007}
}