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

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

2011-07-17

arxiv.org/abs/1107.3337v2

Mathematics

Algebraic Geometry

13 pages, 1 figure, final version. To appear on Comment. Math. Helv

Scientific paper

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.

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