Simultaneous normalization of period map and affine structures on moduli spaces
Algebraic Geometry
2026-02-19 v2
Abstract
We prove that the image of the lifted period map on the universal cover lies in a complex Euclidean space. We also prove that the Teichm\"uller spaces of a class of polarized manifolds have complex affine structures.
Cite
@article{arxiv.1910.06767,
title = {Simultaneous normalization of period map and affine structures on moduli spaces},
author = {Kefeng Liu and Yang Shen},
journal= {arXiv preprint arXiv:1910.06767},
year = {2026}
}
Comments
The original proof in this paper contains an error. A corrected version has been posted separately as arXiv:2602.13947. This withdrawal is made to prevent confusion and to direct readers to the revised paper