On the Variety of Rational Curves of Degree d in \Bbb Pⁿ

1998/04/30 by P. I. Katsylo, Pavel Katsylo, Katsylo, Pavel
Computer Science · Engineering · Mathematics · #Advanced Numerical Analysis Techniques #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Polynomial and algebraic computation #math.AG

paper · pdf · doi:10.48550/arxiv.math/9804142

5 pages, AmsTex

arxiv created 1998/04/30 · openalex publication_date 1998/04/30 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct the canonical structure of an irreducible projective variety on the set of connected curves of degree d in \Bbb Pⁿ 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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