Enumerating curves on rational surfaces: the rational fibration method
classification
alg-geom
math.AG
keywords
rationalcurvesmethodsurfacesanalogousapplicationsapproachdescribed
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A new, simple method to approach enumerative questions about rational curves on rational surfaces is described. Applications include a short proof of Kontsevich's formula for plane curves and a the solution of the analogous problem for the Hirzebruch surface F_3.
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