A Global Torelli Theorem for Calabi-Yau Manifolds

Mathematics – Algebraic Geometry

Scientific paper

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28 pages. We have improved the expositions following referees' comments

Scientific paper

We prove that the period map from the Teichmuller space of polarized and
marked Calabi-Yau manifolds to the classifying space of polarized Hodge
structures is an embedding. The proof is based on the constructions of
holomorphic affine structure and global holomorphic affine flat coordinates on
the Teichmuller space.

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