Enumeration of one-nodal rational curves in projective spaces

Aleksey Zinger

doi:10.1016/j.top.2003.10.003

Enumeration of one-nodal rational curves in projective spaces

Aleksey Zinger

Mathematics

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

We give a formula computing the number of one-nodal rational curves that pass through an appropriate collection of constraints in a complex projective space. The formula involves intersections of tautological classes on moduli spaces of stable rational maps. We combine the methods and results from three different papers.

Original language	English
Pages (from-to)	793-829
Number of pages	37
Journal	Topology
Volume	43
Issue number	4
DOIs	https://doi.org/10.1016/j.top.2003.10.003
State	Published - Jul 2004

Keywords

Enumerative geometry
Nodal curves
Projective spaces
Stable maps

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10.1016/j.top.2003.10.003

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abstract = "We give a formula computing the number of one-nodal rational curves that pass through an appropriate collection of constraints in a complex projective space. The formula involves intersections of tautological classes on moduli spaces of stable rational maps. We combine the methods and results from three different papers.",

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KW - Enumerative geometry

KW - Nodal curves

KW - Projective spaces

KW - Stable maps

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Enumeration of one-nodal rational curves in projective spaces

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