On the new theory of 1-motives
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866916111259271168 |
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| author | Gonzalez-Aviles, Cristian D. |
| author_facet | Gonzalez-Aviles, Cristian D. |
| contents | This is a letter (not intended for publication in a regular journal) written in response to two referees of my preprint "Local duality theorems for commutative algebraic groups". In it, I discuss possible applications of the new theory of 1-motives introduced in that preprint. One of these is a new approach to the BSD conjecture for abelian varieties over global fields (developed here only partially) which builds on Bloch's well-known volume-theoretic interpretation of the conjecture in the number field case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_17960 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the new theory of 1-motives Gonzalez-Aviles, Cristian D. Number Theory Algebraic Geometry 11G25, 14G20 This is a letter (not intended for publication in a regular journal) written in response to two referees of my preprint "Local duality theorems for commutative algebraic groups". In it, I discuss possible applications of the new theory of 1-motives introduced in that preprint. One of these is a new approach to the BSD conjecture for abelian varieties over global fields (developed here only partially) which builds on Bloch's well-known volume-theoretic interpretation of the conjecture in the number field case. |
| title | On the new theory of 1-motives |
| topic | Number Theory Algebraic Geometry 11G25, 14G20 |
| url | https://arxiv.org/abs/2401.17960 |