Simultaneous normalization of period map and affine structures on moduli spaces

2019/10/13 by Liu, Kefeng, Shen, Yang
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1910.06767

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 Teichmüller spaces of a class of polarized manifolds have complex affine structures.

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