Kefeng LiuZhejiang University and University of California at Los AngelesYang ShenZhejiang University
mathscidoc:1612.01002
2015.7
We prove a conjecture of Griffiths on simultaneous normalization of all periods which asserts that the image of the lifted period map on the universal cover lies in a bounded domain in a complex Euclidean space. As an application we prove that the Teichm\"uller spaces of a large class of projective manifolds have complex affine structures.
@inproceedings{kefeng2015boundedness,
title={Boundedness of the images of period maps and applications},
author={Kefeng Liu, and Yang Shen},
url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20161208160357436870679},
year={2015},
}
Kefeng Liu, and Yang Shen. Boundedness of the images of period maps and applications. 2015. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20161208160357436870679.