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arXiv · 1910.06767

Simultaneous normalization of period map and affine structures on moduli spaces

Kefeng Liu·Yang Shen
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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.

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Kefeng Liu, Yang Shen. 2019-10-13. Simultaneous normalization of period map and affine structures on moduli spaces. https://arxiv.org/abs/1910.06767

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