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arXiv · alg-geom/9608023

Enumerating curves on rational surfaces: the rational fibration method

Lucia Caporaso·Joe Harris
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Abstract

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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Lucia Caporaso, Joe Harris. 1996-08-22. Enumerating curves on rational surfaces: the rational fibration method. https://arxiv.org/abs/alg-geom/9608023

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