2006/03/06 by Enrico Carlini, E. Carlini, Carlini, E. +3
Mathematics · Social Sciences · #14H50 #14N15 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra (math.AC) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Vietnamese History and Culture Studies #math.AC #math.AG #msc:14H50 #msc:14N15
paper · pdf · doi:10.48550/arxiv.math/0603137
arxiv created 2006/03/06 · openalex publication_date 2006/03/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we study existence and uniqueness of rational normal curves in \PPn passing through p points and intersecting l codimension two linear spaces in n-1 points each. If p+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.