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arXiv:1507.01860 [math.AG]AbstractReferencesReviewsResources

Boundedness of the images of period maps and applications

Kefeng Liu, Yang Shen

Published 2015-06-30Version 1

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 complex Euclidean space. As an application we prove that the Teichm\"uller spaces of a large class of projective manifolds have complex affine structures.

Comments: This version supercedes arXiv:1412.2837 with further applications
Categories: math.AG
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