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| Format: | Preprint |
| Publié: |
2025
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| Accès en ligne: | https://arxiv.org/abs/2509.13016 |
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| _version_ | 1866909939442647040 |
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| author | Milne, James S. |
| author_facet | Milne, James S. |
| contents | In the 1950s and 1960s Tate proved some duality theorems in the Galois cohomology of finite modules and abelian varieties. As for most of Tate's work this has had a profound influence on mathematics with many applications and further developments. In this article, I discuss Tate's theorems and some of these developments. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_13016 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Arithmetic Duality Milne, James S. Number Theory Algebraic Geometry 11S25, 11G10 In the 1950s and 1960s Tate proved some duality theorems in the Galois cohomology of finite modules and abelian varieties. As for most of Tate's work this has had a profound influence on mathematics with many applications and further developments. In this article, I discuss Tate's theorems and some of these developments. |
| title | Arithmetic Duality |
| topic | Number Theory Algebraic Geometry 11S25, 11G10 |
| url | https://arxiv.org/abs/2509.13016 |