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arxiv: 1703.02889 · v1 · pith:HWSJ6TONnew · submitted 2017-03-08 · 🧮 math.AG

Calabi-Yau double coverings of Fano-Enriques threefolds

classification 🧮 math.AG
keywords threefoldscalabi-yaucoveringsdoubleadmitcalculatecyclicenriques-fano
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This note is a report on the observation that the Enriques-Fano 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.

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