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Calabi–Yau Double Coverings of Fano–Enriques Threefolds

Published online by Cambridge University Press:  28 August 2018

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

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.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 2018 

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