An application of a Hodge realization of Bloch-Kriz mixed Tate motives
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866915190471131136 |
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| author | Kimura, Kenichiro |
| author_facet | Kimura, Kenichiro |
| contents | Beilinson and Deligne proved a weak version of Zagier's conjucture on special values of Dedekind zeta functions assuming the existence of a category of mixed Tate motives which has certain properties. We show that Bloch-Kriz category of mixed Tate motives together with a Hodge realization which we constructed has the required properties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_12421 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | An application of a Hodge realization of Bloch-Kriz mixed Tate motives Kimura, Kenichiro Number Theory K-Theory and Homology 19E15 (Primary), 11R42 (Secondary) Beilinson and Deligne proved a weak version of Zagier's conjucture on special values of Dedekind zeta functions assuming the existence of a category of mixed Tate motives which has certain properties. We show that Bloch-Kriz category of mixed Tate motives together with a Hodge realization which we constructed has the required properties. |
| title | An application of a Hodge realization of Bloch-Kriz mixed Tate motives |
| topic | Number Theory K-Theory and Homology 19E15 (Primary), 11R42 (Secondary) |
| url | https://arxiv.org/abs/2412.12421 |