Geodesic
Lattice polygons and families of curves on rational surfaces
Journal of Algebraic Combinatorics, Tome 34 (2011) no. 2, pp. 213-236.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: First we solve the problem of finding minimal degree families on toric surfaces by reducing it to lattice geometry. Then we describe how to find minimal degree families on, more generally, rational complex projective surfaces.
Keywords: keywords algebraic geometry, toric geometry, lattice polygons, families of curves, surfaces 
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     title = {Lattice polygons and families of curves on rational surfaces},
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Lubbes, Niels; Schicho, Josef. Lattice polygons and families of curves on rational surfaces. Journal of Algebraic Combinatorics, Tome 34 (2011) no. 2, pp. 213-236. http://geodesic.mathdoc.fr/item/JAC_2011__34_2_a4/