On a conjecture of Oguiso about rational curves on Calabi–Yau threefolds
Simone Diverio
Université Pierre et Marie Curie, Paris, FranceAndrea Ferretti
Université Lille 1, Villeneuve d'Ascq, France
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Abstract
Let be a Calabi–Yau threefold. We show that if there exists on a non-zero nef non-ample divisor then contains a rational curve, provided its second Betti number is greater than 4.
Cite this article
Simone Diverio, Andrea Ferretti, On a conjecture of Oguiso about rational curves on Calabi–Yau threefolds. Comment. Math. Helv. 89 (2014), no. 1, pp. 157–172
DOI 10.4171/CMH/315