Enumerating curves on rational surfaces: the rational fibration method

Mathematics – Algebraic Geometry

Scientific paper

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25 pages, Tex type: Plain, figures are not included in the package, for a copy with pictures write to bwatson@abel.harvard.edu

Scientific paper

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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