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Calabi–Yau Double Coverings of Fano–Enriques Threefolds

Part of: Surfaces and higher-dimensional varieties

Published online by Cambridge University Press:  28 August 2018

Nam-Hoon Lee
Nam-Hoon Lee*
Affiliation:
Department of Mathematics Education, Hongik University 42-1, Sangsu-Dong, Mapo-Gu, Seoul 121-791, Korea (nhlee@hongik.ac.kr; nhlee@kias.re.kr) School of Mathematics, Korea Institute for Advanced Study, Dongdaemun-gu, Seoul 130-722, South Korea
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Abstract

This note is a report on the observation that the Fano–Enriques threefolds with terminal cyclic quotient singularities admit Calabi–Yau threefolds as their double coverings. We calculate the invariants of those Calabi–Yau threefolds when the Picard number is one. It turns out that all of them are new examples.

Keywords

Fano–Enriques threefoldCalabi–Yau threefoldFano threefold

MSC classification

Primary: 14J30: $3$-folds
Secondary: 14J32: Calabi-Yau manifolds 14J45: Fano varieties
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 62 , Issue 1 , February 2019 , pp. 107 - 114
Copyright
Copyright © Edinburgh Mathematical Society 2018 

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