Emptiness of homogeneous linear systems with ten general base points

2009/10/07 by Ciro Ciliberto, Ciliberto, Ciro, Olivia Dumitrescu +5
Computer Science · Mathematics · #14C20 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.0910.1171

openalex publication_date 2009/10/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we give a new proof of the fact that for all pairs of positive integers (d, m) with d/m < 117/37, the linear system of plane curves of degree d with ten general base points of multiplicity m is empty.

Citations

• Regularity and non-emptyness of linear systems in \mathbb Pⁿ

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