Neto ’ S Examples of Foliations and the Mori Cone of Blow - Ups Of
نویسنده
چکیده
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 P 2 at very general points. Also, we give an explicit family of smooth projective rational surfaces X such that the set of faces of the Mori cone N E(X) meeting the region (KX · z = 0) (resp., (KX · z > 0)) is not finite.
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تاریخ انتشار 2009