The strong Stark conjecture for totally odd characters
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2021
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| _version_ | 1866916113224302592 |
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| author | Nickel, Andreas |
| author_facet | Nickel, Andreas |
| contents | We prove the $p$-part of the strong Stark conjecture for every totally odd character and every odd prime $p$.
Let $L/K$ be a finite Galois CM-extension with Galois group $G$, which has an abelian Sylow $p$-subgroup for an odd prime $p$. We give an unconditional proof of the minus $p$-part of the equivariant Tamagawa number conjecture for the pair $(h^0(\mathrm{Spec}(L)), \mathbb{Z}[G])$ under certain restrictions on the ramification behavior in $L/K$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2106_05619 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | The strong Stark conjecture for totally odd characters Nickel, Andreas Number Theory 11R42 We prove the $p$-part of the strong Stark conjecture for every totally odd character and every odd prime $p$. Let $L/K$ be a finite Galois CM-extension with Galois group $G$, which has an abelian Sylow $p$-subgroup for an odd prime $p$. We give an unconditional proof of the minus $p$-part of the equivariant Tamagawa number conjecture for the pair $(h^0(\mathrm{Spec}(L)), \mathbb{Z}[G])$ under certain restrictions on the ramification behavior in $L/K$. |
| title | The strong Stark conjecture for totally odd characters |
| topic | Number Theory 11R42 |
| url | https://arxiv.org/abs/2106.05619 |