Iwasawa $λ$ invariant and Massey product
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910323482558464 |
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| author | Qi, Peikai |
| author_facet | Qi, Peikai |
| contents | We compute Iwasawa $λ$ invariant in terms of Massey products in Galois cohomology with restricted ramification. When applied to imaginary quadratic fields and cyclotomic fields, we obtain a new proof and generalization of results of Gold and McCallum-Sharifi. The main tool is the generalized Bockstein map introduced by Lam-Liu-Sharifi-Wake-Wang. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_06028 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Iwasawa $λ$ invariant and Massey product Qi, Peikai Number Theory We compute Iwasawa $λ$ invariant in terms of Massey products in Galois cohomology with restricted ramification. When applied to imaginary quadratic fields and cyclotomic fields, we obtain a new proof and generalization of results of Gold and McCallum-Sharifi. The main tool is the generalized Bockstein map introduced by Lam-Liu-Sharifi-Wake-Wang. |
| title | Iwasawa $λ$ invariant and Massey product |
| topic | Number Theory |
| url | https://arxiv.org/abs/2402.06028 |