Homogeneous interpolation on ten points

Abstract

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

36 pages

References in corpus (2)

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

Cited by in corpus (3)

• Emptiness of homogeneous linear systems with ten general base points
• Ciliberto-Miranda degenerations of ${\mathbb{CP}}^2$ blown up in 10 points
• Special homogeneous linear systems on Hirzebruch surfaces