Emptiness of homogeneous linear systems with ten general base points

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.

5 pages

References in corpus (3)

• Regularity and non-emptyness of linear systems in ${\mathbb{P}}^n$
• Homogeneous interpolation on ten points
• Ciliberto-Miranda degenerations of ${\mathbb{CP}}^2$ blown up in 10 points