Isolated rational curves on K3-fibered Calabi-Yau threefolds

Details Isolated rational curves on K3-fibered Calabi-Yau threefolds Isolated rational curves on K3-fibered Calabi-Yau threefolds

1997-10-08

arxiv.org/abs/alg-geom/9710010v2

Manuscripta math. 99, pp.111-133, 1999

Mathematics

Algebraic Geometry

Some changes that were made in the published journal version are here incorporated in the web version

Scientific paper

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.

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