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

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

2009-01-12

arxiv.org/abs/0901.1565v2

Mathematics

Algebraic Geometry

Scientific paper

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.

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