Geodesic
Foliations on P^2 admitting a primitive model
Journal of Singularities, Tome 3 (2011), pp. 8-19

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Given a foliation F on P^2, by fixing a line L P^2 , the polar pencil of F with axis L is the set of all polar curves of F with respect to points l in L. In this work we study foliations F which admit a polar pencil whose generic element is reducible. To such an F is associated a primitive model, which is a foliation F~ whose polar pencil, besides having irreducible generic element, is such that its fibers are contained in those of the polar pencil of F. This work focuses on relating geometric properties of a foliation F with those of its primitive model F~.
DOI : 10.5427/jsing.2011.3b
Classification : 32S65, 14C21 
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     title = {Foliations on {P^2} admitting a primitive model},
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Gilberto D. Cuzzuol; Rogério S. Mol. Foliations on P^2 admitting a primitive model. Journal of Singularities, Tome 3 (2011), pp. 8-19. doi: 10.5427/jsing.2011.3b

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