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arXiv:1107.3337 [math.AG]AbstractReferencesReviewsResources

On a conjecture of Oguiso about rational curves on Calabi-Yau threefolds

Simone Diverio, Andrea Ferretti

Published 2011-07-17, updated 2012-03-14Version 2

Let X be a Calabi-Yau threefold. We show that if there exists on X a non-zero nef non-ample divisor then X contains a rational curve, provided its second Betti number is greater than 4.

Comments: 13 pages, 1 figure, final version. To appear on Comment. Math. Helv
Categories: math.AG, math.CV
Subjects: 14J32, 14E30, 14G05, 32Q45
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