A Global Torelli Theorem for Calabi-Yau Manifolds

Abstract

We describe the proof that the period map from the Torelli space of 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 on the Teichmüller space and Hodge metric completion of the Torelli space. A canonical global holomorphic section of the holomorphic $(n,0)$ class on the Teichmüller space is constructed.

An error is corrected by using the Torelli space and its Hodge metric completion

Cited by in corpus (4)

• Global Torelli Theorem for Projective Manifolds of Calabi-Yau Type
• Hodge metric completion of the moduli space of Calabi-Yau manifolds
• Quasi-isometry and deformations of Calabi-Yau manifolds
• Extension of holomorphic canonical forms on complete d-bounded Kahler manifolds