Rational Curves in Calabi-Yau Threefolds

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We study the set of rational curves of a certain topological type in general members of certain families of Calabi-Yau threefolds. For some families we investigate to what extent it is possible to conclude that this set is finite. For other families we investigate whether this set contains at least one point representing an isolated rational curve.
In special volume dedicated to Steven L. Kleiman on his 60'th birthday. Contains revised version of Theorem 4.3

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Algebraic Geometry, 14J32 (14H45, 14J28)

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http://salesiana.dossiersoluciones.com/handle/123456789/67939

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0307003
 http://arxiv.org/abs/math/0307003
 Communications in Algebra, Vol. 31(8), pp. 3917-53, 2003

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arXiv