Parameter spaces for curves on surfaces and enumeration of rational curves

Details Parameter spaces for curves on surfaces and enumeration of rational curves Parameter spaces for curves on surfaces and enumeration of rational curves

1996-08-22

arxiv.org/abs/alg-geom/9608024v1

Mathematics

Algebraic Geometry

77 pages, Tex type: AMSLaTex in LaTex 2.09 compatibility mode, figures are not included in the package, for a copy with pictur

Scientific paper

We answer some enumerative questions about irreducible rational curves on
Hirzebruch surfaces, by combining an idea of Kontsevich with the study of the
geometry of certain natural parameter spaces. Our formulas generalize
Kontsevich's formula for rational plane curves of given degree.

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