The filtered Ogus realisation of motives
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2018
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| _version_ | 1866911979784896512 |
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| author | Chiarellotto, Bruno Lazda, Christopher Mazzari, Nicola |
| author_facet | Chiarellotto, Bruno Lazda, Christopher Mazzari, Nicola |
| contents | We construct the (filtered) Ogus realisation of Voevodsky motives over a number field $K$. This realisation extends the functor defined on $1$-motives by Andreatta, Barbieri-Viale and Bertapelle. As an illustration we note that the analogue of the Tate conjecture holds for K3 surfaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1808_03146 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | The filtered Ogus realisation of motives Chiarellotto, Bruno Lazda, Christopher Mazzari, Nicola Number Theory 11G35, 14F42 We construct the (filtered) Ogus realisation of Voevodsky motives over a number field $K$. This realisation extends the functor defined on $1$-motives by Andreatta, Barbieri-Viale and Bertapelle. As an illustration we note that the analogue of the Tate conjecture holds for K3 surfaces. |
| title | The filtered Ogus realisation of motives |
| topic | Number Theory 11G35, 14F42 |
| url | https://arxiv.org/abs/1808.03146 |