Analog of Satake-Baily-Borel for period maps
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2020
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| _version_ | 1866909567497011200 |
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| author | Green, Mark Griffiths, Phillip Robles, Colleen |
| author_facet | Green, Mark Griffiths, Phillip Robles, Colleen |
| contents | We propose an analog of the Satake--Baily--Borel compactification and Borel's extension theorem for arbitrary period maps. The proposed analog is constructed as a proper topological completion of the period map. It is conjectured that the construction is projective algebraic, and the conjecture is reduced to a certain extension problem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2010_06720 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Analog of Satake-Baily-Borel for period maps Green, Mark Griffiths, Phillip Robles, Colleen Algebraic Geometry 14D07, 32G20, 32S35, 58A14 We propose an analog of the Satake--Baily--Borel compactification and Borel's extension theorem for arbitrary period maps. The proposed analog is constructed as a proper topological completion of the period map. It is conjectured that the construction is projective algebraic, and the conjecture is reduced to a certain extension problem. |
| title | Analog of Satake-Baily-Borel for period maps |
| topic | Algebraic Geometry 14D07, 32G20, 32S35, 58A14 |
| url | https://arxiv.org/abs/2010.06720 |