Primitive contractions of Calabi-Yau threefolds II

Grzegorz Kapustka

doi:10.1112/jlms/jdn069

Primitive contractions of Calabi-Yau threefolds II

Algebraic Geometry 2014-02-26 v3

Authors: Grzegorz Kapustka

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Abstract

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 $\mathbb{P}^1\times \mathbb{P}^1$ .

Keywords

Calabi-Yau threefolds primitive contractions Picard group del Pezzo surface smoothing exceptional divisor algebraic geometry

Cite

@article{arxiv.0707.2488,
  title  = {Primitive contractions of Calabi-Yau threefolds II},
  author = {Grzegorz Kapustka},
  journal= {arXiv preprint arXiv:0707.2488},
  year   = {2014}
}

Comments

20 pages, to appear in JLMS

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