×

zbMATH — the first resource for mathematics

Quotients of the conifold in compact Calabi-Yau threefolds, and new topological transitions. (English) Zbl 1242.14038
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.

MSC:
14J32 Calabi-Yau manifolds (algebro-geometric aspects)
32Q25 Calabi-Yau theory (complex-analytic aspects)
PDF BibTeX Cite
Full Text: DOI Euclid arXiv