Primitive contractions of Calabi-Yau threefolds II

Details Primitive contractions of Calabi-Yau threefolds II Primitive contractions of Calabi-Yau threefolds II

2007-07-17

arxiv.org/abs/0707.2488v3

Mathematics

Algebraic Geometry

20 pages, to appear in JLMS

Scientific paper

We construct 16 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 6, 7 or $\mathbb{P}^1\times \mathbb{P}^1$.

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