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Enumerating Rational Curves: The Rational Fibration Method
Published online by Cambridge University Press: 04 December 2007
Abstract
A new method to approach enumerative questions about rational curves on algebraic varieties is described. The idea is to reduce the counting problems to computations on the Néron-Severi group of a ruled surface. Applications include a short proof of Kontsevich‘s formula for plane curves and the solution of the analogous problem for the Hirzebruch surface F$_3$.
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- © 1998 Kluwer Academic Publishers
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