We construct several new examples of Calabi–Yau threefolds with Picard group of rank 1. Each of these examples is obtained by smoothing the image of a primitive contraction with exceptional divisor being a del Pezzo surface of degree 4, 5, 6, or 7, or ℙ1×ℙ1.
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Grzegorz Kapustka (2008) studied this question.
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