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arXiv · 1002.2810

A simple remark on a flat projective morphism with a Calabi-Yau fiber

Keiji Oguiso
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Abstract

If a K3 surface is a fiber of a flat projective morphisms over a connected noetherian scheme over the complex number field, then any smooth connected fiber is also a K3 surface. Observing this, Professor Nam-Hoon Lee asked if the same is true for higher dimensional Calabi-Yau fibers. We shall give an explicit negative answer to his question as well as a proof of his initial observation.

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Keiji Oguiso. 2010-02-15. A simple remark on a flat projective morphism with a Calabi-Yau fiber. https://doi.org/10.1007/s11425-010-4115-3

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