Calabi-Yau型射影流形的整体Torelli定理
代数几何
2016-09-06 v7
摘要
我们证明了从Torelli空间和具有水平结构的Calabi-Yau型流形的模空间到对应的极化Hodge结构的周期域的周期映射是单射。证明基于Teichmüller空间上全纯仿射结构的构造以及关于Hodge度量的Torelli空间完备化空间的构造。
引用
@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}
}
备注
Some clarifications are added and two simpler proofs of Theorem 3.11 are given