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arXiv · 1107.3337

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

Simone Diverio·Andrea Ferretti
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Abstract

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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Simone Diverio, Andrea Ferretti. 2011-07-17. On a conjecture of Oguiso about rational curves on Calabi-Yau threefolds. https://arxiv.org/abs/1107.3337

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