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arxiv: 1812.01622 · v1 · pith:LNI2BPEMnew · submitted 2018-12-04 · 🧮 math.AG

A special Calabi-Yau degeneration with trivial monodromy

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keywords calabi-yaudegenerationfamilymonodromytrivialanalogouscompletedexample
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A well-known theorem of Kulikov, Persson and Pinkham states that a degeneration of a family of K3-surfaces with trivial monodromy can be completed to a smooth family. We give a simple example that an analogous statement does not hold for Calabi-Yau threefolds.

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