Simultaneous normalization of period map and affine structures on moduli spaces

Fuente: arXiv
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Main Authors: Liu, Kefeng, Shen, Yang
Format: Preprint
Published: 2019
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author Liu, Kefeng
Shen, Yang
author_facet Liu, Kefeng
Shen, Yang
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_1910_06767
institution arXiv
publishDate 2019
record_format arxiv
spellingShingle Simultaneous normalization of period map and affine structures on moduli spaces
Liu, Kefeng
Shen, Yang
Algebraic Geometry
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.
title Simultaneous normalization of period map and affine structures on moduli spaces
topic Algebraic Geometry
url https://arxiv.org/abs/1910.06767