On Non-Noetherian Iwasawa Theory
Fuente:
arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916081607639040 |
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| author | Burns, David Daoud, Alexandre Liang, Dingli |
| author_facet | Burns, David Daoud, Alexandre Liang, Dingli |
| contents | We prove a general structure theorem for finitely presented torsion modules over a class of commutative rings that need not be Noetherian. As a first application, we then use this result to study the Weil- étale cohomology groups of $\mathbb{G}_m$ for curves over finite fields. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_02946 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On Non-Noetherian Iwasawa Theory Burns, David Daoud, Alexandre Liang, Dingli Number Theory Rings and Algebras 11R20, 11R23, 11R29, 11R34, 11R58, 11R60, 11R65, 11T30, 13F05, 19F27, We prove a general structure theorem for finitely presented torsion modules over a class of commutative rings that need not be Noetherian. As a first application, we then use this result to study the Weil- étale cohomology groups of $\mathbb{G}_m$ for curves over finite fields. |
| title | On Non-Noetherian Iwasawa Theory |
| topic | Number Theory Rings and Algebras 11R20, 11R23, 11R29, 11R34, 11R58, 11R60, 11R65, 11T30, 13F05, 19F27, |
| url | https://arxiv.org/abs/2401.02946 |