Algebraic cycles on hyper-Kähler varieties of generalized Kummer type
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
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| _version_ | 1866917834040279040 |
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| author | Floccari, Salvatore Varesco, Mauro |
| author_facet | Floccari, Salvatore Varesco, Mauro |
| contents | We prove the conjectures of Hodge and Tate for any four-dimensional hyper-Kähler variety of generalized Kummer type. For an arbitrary variety $X$ of generalized Kummer type, we show that all Hodge classes in the subalgebra of the rational cohomology generated by $H^2(X,\mathbb{Q})$ are algebraic. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_04865 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Algebraic cycles on hyper-Kähler varieties of generalized Kummer type Floccari, Salvatore Varesco, Mauro Algebraic Geometry We prove the conjectures of Hodge and Tate for any four-dimensional hyper-Kähler variety of generalized Kummer type. For an arbitrary variety $X$ of generalized Kummer type, we show that all Hodge classes in the subalgebra of the rational cohomology generated by $H^2(X,\mathbb{Q})$ are algebraic. |
| title | Algebraic cycles on hyper-Kähler varieties of generalized Kummer type |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2308.04865 |