Algebraicity of Hodge classes on some generalized Prym Varieties
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866917525770469376 |
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| author | Patel, Deepam Zhang, Yilong |
| author_facet | Patel, Deepam Zhang, Yilong |
| contents | In this article, we revisit the construction of some algebraic cycles due to Chad Schoen on certain Prym Varieties. More precisely, we show that these cycles arise naturally from (unramified) geometric class field theory, and apply it to prove the algebraicity of certain Hodge classes on some generalized Prym Varieties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_13729 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Algebraicity of Hodge classes on some generalized Prym Varieties Patel, Deepam Zhang, Yilong Algebraic Geometry 14C30, 14K22 primary, 14H40 secondary In this article, we revisit the construction of some algebraic cycles due to Chad Schoen on certain Prym Varieties. More precisely, we show that these cycles arise naturally from (unramified) geometric class field theory, and apply it to prove the algebraicity of certain Hodge classes on some generalized Prym Varieties. |
| title | Algebraicity of Hodge classes on some generalized Prym Varieties |
| topic | Algebraic Geometry 14C30, 14K22 primary, 14H40 secondary |
| url | https://arxiv.org/abs/2506.13729 |