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arXiv · 0901.1565

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

Francisco Monserrat
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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.

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Francisco Monserrat. 2009-10-26. Lins Neto's examples of foliations and the Mori cone of blow-ups of $P^2$. https://doi.org/10.1112/blms%2Fbdq111

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