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arXiv · 1507.01860

Boundedness of the images of period maps and applications

Kefeng Liu·Yang Shen
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Abstract

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.

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Kefeng Liu, Yang Shen. 2015-06-30. Boundedness of the images of period maps and applications. https://arxiv.org/abs/1507.01860

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