Lins Neto's examples of foliations and the Mori cone of blow-ups of $P^2$

Abstract

We use a family of algebraic foliations given by A. Lins Neto to provide new evidences to a conjecture, related to the Harbourne-Hirschowitz's one and implying the Nagata's conjecture, which concerns the structure of the Mori cone of blow-ups of ${\mathbb{P}}^2$ at very general points.

References in corpus (2)

• Degenerations of Planar Linear Systems
• Negative curves on very general blow-ups of P^2