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arXiv:1205.4207 [math.AG]AbstractReferencesReviewsResources

Global Torelli Theorem for Projective Manifolds of Calabi-Yau Type

Xiaojing Chen, Feng Guan, Kefeng Liu

Published 2012-05-18, updated 2015-02-02Version 4

We prove that the period map from the Teichm\"uller space of polarized and marked Calabi-Yau type manifolds to the period domain of polarized Hodge structures is injective, which is based on the constructions of holomorphic affine structure on the Teichm\"uller space and the construction of the completion of the Teichm\"uller space with respect to the Hodge metric.

Comments: 36 pages. Some details and references added to the proof of Theorem 3.12
Categories: math.AG
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