Isolated rational curves on K3-fibered Calabi-Yau threefolds
alg-geom
2007-05-23 v2 Algebraic Geometry
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.
Keywords
Cite
@article{arxiv.alg-geom/9710010,
title = {Isolated rational curves on K3-fibered Calabi-Yau threefolds},
author = {Torsten Ekedahl and Trygve Johnsen and Dag Einar Sommervoll},
journal= {arXiv preprint arXiv:alg-geom/9710010},
year = {2007}
}
Comments
Some changes that were made in the published journal version are here incorporated in the web version