Homogeneous interpolation on ten points

2008/11/29 by Ciro Ciliberto, Ciliberto, Ciro, Rick Miranda +1 · 2 citations
Engineering · Mathematics · Social Sciences · #14H50 #14J26 #Advanced Numerical Analysis Techniques #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Historical and Political Studies

paper · pdf · doi:10.48550/arxiv.0812.0032

openalex publication_date 2008/11/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we prove that for all pairs (d,m) with d/m ≥ 174/55, the linear system of plane curves of degree d with ten general base points of multiplicity m has the expected dimension.

Citations

• Reduction method for linear systems of plane curves with base fat points

Cited by

• A new phantom on a rational surface
• Objects of a Phantom on a Rational Surface

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