Mathematics – Algebraic Geometry
Scientific paper
2010-02-15
Mathematics
Algebraic Geometry
8 pages, main theorem is generalized, one more remark is added, mis-calculation and typos are corrected etc.
Scientific paper
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.
Oguiso Keiji
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