Isolated rational curves on K3-fibered Calabi-Yau threefolds

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We study each of the 16 types of complete intersection Calabi-Yau threefolds in projective n-space times the projective line, for various n, and prove existence of isolated rational curves of bidegree (d,0) for all positive integers d on a general threefold of each of these types. As a corollary we find isolated rational curves in all degrees on a general CICY of each of the 5 possible types in usual projective n-space.
Some changes that were made in the published journal version are here incorporated in the web version

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Algebraic Geometry, 14J30 (Primary) 14J28, 14H45 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/228

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/alg-geom/9710010
 http://arxiv.org/abs/alg-geom/9710010
 Manuscripta math. 99, pp.111-133, 1999

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arXiv