On the generic degree of two-parameter period mappings
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866916365719306240 |
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| author | Chen, Chongyao Deng, Haohua |
| author_facet | Chen, Chongyao Deng, Haohua |
| contents | We present a method for computing the generic degree of a period map defined on a quasi-projective surface. As an application, we explicitly compute the generic degree of three period maps underlying families of Calabi-Yau 3-folds coming from toric hypersurfaces. As a consequence, we show that the generic Torelli theorem holds for these cases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_12090 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the generic degree of two-parameter period mappings Chen, Chongyao Deng, Haohua Algebraic Geometry Mathematical Physics 14C34, 14D07, 14J32, 32G20 We present a method for computing the generic degree of a period map defined on a quasi-projective surface. As an application, we explicitly compute the generic degree of three period maps underlying families of Calabi-Yau 3-folds coming from toric hypersurfaces. As a consequence, we show that the generic Torelli theorem holds for these cases. |
| title | On the generic degree of two-parameter period mappings |
| topic | Algebraic Geometry Mathematical Physics 14C34, 14D07, 14J32, 32G20 |
| url | https://arxiv.org/abs/2408.12090 |