Boundedness of the images of period maps and applications
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2015
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| _version_ | 1866915802621411328 |
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| author | Liu, Kefeng Shen, Yang |
| author_facet | Liu, Kefeng Shen, Yang |
| contents | 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 Teichmüller spaces of a large class of projective manifolds have complex affine structures. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1507_01860 |
| institution | arXiv |
| publishDate | 2015 |
| record_format | arxiv |
| spellingShingle | Boundedness of the images of period maps and applications Liu, Kefeng Shen, Yang Algebraic Geometry 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 Teichmüller spaces of a large class of projective manifolds have complex affine structures. |
| title | Boundedness of the images of period maps and applications |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/1507.01860 |