On the generalized toroidal completion of period mappings
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866917021974790144 |
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| author | Deng, Haohua Tsimerman, Jacob |
| author_facet | Deng, Haohua Tsimerman, Jacob |
| contents | Given a period map defined over a quasi-projective variety, we construct a completion with rich geometric and Hodge-theoretic meaning. This result may be regarded as an analog of Mumford's toroidal compactification for locally symmetric Hodge varieties as well as a realizable alternative of Kato--Nakayama--Usui's construction. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_10109 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the generalized toroidal completion of period mappings Deng, Haohua Tsimerman, Jacob Algebraic Geometry 14D07, 32G20, 14A21 Given a period map defined over a quasi-projective variety, we construct a completion with rich geometric and Hodge-theoretic meaning. This result may be regarded as an analog of Mumford's toroidal compactification for locally symmetric Hodge varieties as well as a realizable alternative of Kato--Nakayama--Usui's construction. |
| title | On the generalized toroidal completion of period mappings |
| topic | Algebraic Geometry 14D07, 32G20, 14A21 |
| url | https://arxiv.org/abs/2506.10109 |