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On the Variety of Rational Curves of Degree $d$ in $\Bbb P^n$

Pavel Katsylo
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Abstract

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

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Pavel Katsylo. 1998-04-30. On the Variety of Rational Curves of Degree $d$ in $\Bbb P^n$. https://arxiv.org/abs/math/9804142

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