On reductions of Selmer sections
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866914047060869120 |
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| author | Porowski, Wojciech |
| author_facet | Porowski, Wojciech |
| contents | We consider reductions of Selmer sections of the étale homotopy sequence of a hyperbolic curve over a number field. We show that the conjugacy class of a noncuspidal Selmer section is uniquely determined by its reduction on a set of density one. Moreover, we show that a noncuspidal Selmer section reduces to cusps only on a set of density zero, at least after a finite field extension. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_15660 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On reductions of Selmer sections Porowski, Wojciech Algebraic Geometry We consider reductions of Selmer sections of the étale homotopy sequence of a hyperbolic curve over a number field. We show that the conjugacy class of a noncuspidal Selmer section is uniquely determined by its reduction on a set of density one. Moreover, we show that a noncuspidal Selmer section reduces to cusps only on a set of density zero, at least after a finite field extension. |
| title | On reductions of Selmer sections |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2509.15660 |