Algebraicity of Artin--Hasse--Weil L-series over global function fields
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
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| _version_ | 1866912114008915968 |
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| author | Angdinata, David Kurniadi |
| author_facet | Angdinata, David Kurniadi |
| contents | We prove an analogue of Deligne's period conjecture for the special value of the L-function of an abelian variety over a global function field twisted by an Artin representation. We illustrate this in action for an example of an elliptic curve twisted by a Dirichlet character. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_05196 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Algebraicity of Artin--Hasse--Weil L-series over global function fields Angdinata, David Kurniadi Number Theory Algebraic Geometry 11R59, 11G40 We prove an analogue of Deligne's period conjecture for the special value of the L-function of an abelian variety over a global function field twisted by an Artin representation. We illustrate this in action for an example of an elliptic curve twisted by a Dirichlet character. |
| title | Algebraicity of Artin--Hasse--Weil L-series over global function fields |
| topic | Number Theory Algebraic Geometry 11R59, 11G40 |
| url | https://arxiv.org/abs/2410.05196 |