Non-liftable Calabi-Yau spaces

Mathematics – Algebraic Geometry

Scientific paper

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16 pages, 5 tables; v2: minor corrections and additions

Scientific paper

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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