Iwasawa theory of Frobenius-torsion class group schemes
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866911961835372544 |
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| author | Booher, Jeremy Cais, Bryden Kramer-Miller, Joe Upton, James |
| author_facet | Booher, Jeremy Cais, Bryden Kramer-Miller, Joe Upton, James |
| contents | We establish a new Iwasawa theory for the kernel of Frobenius on Jacobians of curves in geometric $\mathbf{Z}_p$-towers over the projective line in characteristic $p$, thereby proving several of the main conjectures of [arXiv:2107.12555]. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_13966 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Iwasawa theory of Frobenius-torsion class group schemes Booher, Jeremy Cais, Bryden Kramer-Miller, Joe Upton, James Number Theory Algebraic Geometry We establish a new Iwasawa theory for the kernel of Frobenius on Jacobians of curves in geometric $\mathbf{Z}_p$-towers over the projective line in characteristic $p$, thereby proving several of the main conjectures of [arXiv:2107.12555]. |
| title | Iwasawa theory of Frobenius-torsion class group schemes |
| topic | Number Theory Algebraic Geometry |
| url | https://arxiv.org/abs/2407.13966 |