On the Variety of Rational Curves of Degree $d$ in ${\mathbb{P}}^n$

Abstract

We construct the canonical structure of an irreducible projective variety on the set of connected curves of degree $d$ in ${\mathbb{P}}^n$ with rational components (some components can be multiple). The set of rational curves is open subset in the Zariski topology under this structure.

5 pages, AmsTex