Connecting certain rigid birational non-homeomorphic Calabi--Yau threefolds via Hilbert scheme

Mathematics – Algebraic Geometry

Scientific paper

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15 pages 7 figures many typos are corrected

Scientific paper

We shall give an explicit pair of birational projective Calabi--Yau
threefolds which are rigid, non-homeomorphic, but are connected by projective
flat deformation over some connected base scheme.

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