Motivic apsects of a remarkable class of Calabi-Yau threefolds
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866917979159003136 |
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| author | Pearlstein, Gregory Peters, Chris |
| author_facet | Pearlstein, Gregory Peters, Chris |
| contents | In this note we consider the motivic aspect of the middle cohomology of more than 200 classes of quasi-smooth Calabi--Yau threefolds inside weighted projective 4-space which come with an action of a cyclic group of even order. The action induces a self-dual Chow--Künneth decomposition. All but one component correspond to Fano threefolds. For these the generalized Hodge conjecture is known, but thanks to the nature of the decomposition we can give a direct proof for one of the components. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_04964 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Motivic apsects of a remarkable class of Calabi-Yau threefolds Pearlstein, Gregory Peters, Chris Algebraic Geometry 14F32, 14J32, 32J17 In this note we consider the motivic aspect of the middle cohomology of more than 200 classes of quasi-smooth Calabi--Yau threefolds inside weighted projective 4-space which come with an action of a cyclic group of even order. The action induces a self-dual Chow--Künneth decomposition. All but one component correspond to Fano threefolds. For these the generalized Hodge conjecture is known, but thanks to the nature of the decomposition we can give a direct proof for one of the components. |
| title | Motivic apsects of a remarkable class of Calabi-Yau threefolds |
| topic | Algebraic Geometry 14F32, 14J32, 32J17 |
| url | https://arxiv.org/abs/2504.04964 |