Lins Neto's examples of foliations and the Mori cone of blow-ups of P²
classification
🧮 math.AG
keywords
blow-upsconeconjecturefoliationslinsmorinetoalgebraic
read the original 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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