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arxiv: 1107.3337 · v2 · pith:RZV3HSL4new · submitted 2011-07-17 · 🧮 math.AG · math.CV

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

classification 🧮 math.AG math.CV
keywords calabi-yaurationalbetticonjecturecontainscurvecurvesdivisor
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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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