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arxiv: 0910.2349 · v2 · pith:NSNGTHSTnew · submitted 2009-10-13 · 🧮 math.AG · math.NT

Non-liftable Calabi-Yau spaces

classification 🧮 math.AG math.NT
keywords calabi-yaunon-liftablespacesauthorcharacteristicconstructfieldfirst
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We construct many new non-liftable three-dimensional Calabi-Yau spaces in positive characteristic. The technique relies on lifting a nodal model to a smooth rigid Calabi-Yau space over some number field as introduced by the first author and D. van Straten.

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