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Isolated rational curves on K3-fibered Calabi-Yau threefolds

Torsten Ekedahl·Trygve Johnsen·Dag Einar Sommervoll
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Abstract

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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BibTeXRIS

Torsten Ekedahl, Trygve Johnsen, Dag Einar Sommervoll. 2001-01-24. Isolated rational curves on K3-fibered Calabi-Yau threefolds. https://arxiv.org/abs/alg-geom/9710010

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