Davies, Rhys Quotients of the conifold in compact Calabi-Yau threefolds, and new topological transitions. (English) Zbl 1242.14038 Adv. Theor. Math. Phys. 14, No. 3, 965-989 (2010). This paper gives explicit constructions of “hyperconifolds”, which are discrete quotients of the conifold Calabi-Yau threefold. These varieties are singular, and they can ofter be resolved by both smoothing and crepant resolutions to obtain smooth compact Calabi-Yau manifolds which perform a geometric transition. Reviewer: Valentino Tosatti (Evanston) Cited in 9 Documents MSC: 14J32 Calabi-Yau manifolds (algebro-geometric aspects) 32Q25 Calabi-Yau theory (complex-analytic aspects) Keywords:Calabi-Yau manifold; conifold; geometric transition PDF BibTeX XML Cite \textit{R. Davies}, Adv. Theor. Math. Phys. 14, No. 3, 965--989 (2010; Zbl 1242.14038) Full Text: DOI arXiv Euclid OpenURL