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The degree of the variety of rational ruled surfaces and Gromov-Witten invariants

Author(s): Cristina Martínez
Journal: Trans. Amer. Math. Soc. 358 (2006), 2611-2624.
MSC (2000): Primary 14N35, 14N10; Secondary 14C05, 14C15
Posted: September 22, 2005
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Abstract: We compute the degree of the variety parametrizing rational ruled surfaces of degree $d$ in $\mathbb{P} ^{3}$ by relating the problem to Gromov-Witten invariants and Quantum cohomology.

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Additional Information:

Cristina Martínez
Affiliation: Departamento de Matematicas, Facultad de Ciencias, Universidad Autonoma de Madrid, Madrid, 28049, Spain
Email: cristina.martinez@uam.es

DOI: 10.1090/S0002-9947-05-03797-9
PII: S 0002-9947(05)03797-9
Keywords: Rational ruled surfaces, enumerative geometry, Gromov-Witten invariants
Received by editor(s): June 23, 2004
Posted: September 22, 2005
Copyright of article: Copyright 2005, American Mathematical Society

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