Global Torelli Theorem for Projective Manifolds of Calabi-Yau Type
Algebraic Geometry
2016-09-06 v7
Abstract
We prove that the period maps from the Torelli space and the moduli space with level structure of Calabi-Yau type manifolds to the corresponding period domain of polarized Hodge structures are injective. The proof is based on the construction of holomorphic affine structure on the Teichm\"uller space and the construction of the completion space of the Torelli space with respect to the Hodge metric.
Keywords
Cite
@article{arxiv.1205.4207,
title = {Global Torelli Theorem for Projective Manifolds of Calabi-Yau Type},
author = {Kefeng Liu and Yang Shen},
journal= {arXiv preprint arXiv:1205.4207},
year = {2016}
}
Comments
Some clarifications are added and two simpler proofs of Theorem 3.11 are given