Diophantine stability for curves over finite fields
Fuente:
arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866913833159753728 |
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| author | Bars, Francesc Lario, Joan Carles Vruoni, Brikena |
| author_facet | Bars, Francesc Lario, Joan Carles Vruoni, Brikena |
| contents | We carry out a survey on curves defined over finite fields that are Diophantine stable; that is, with the property that the set of points of the curve is not altered under a proper field extension. First, we derive some general results of such curves and then we analyze several families of curves that happen to be Diophantine stable. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_07086 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Diophantine stability for curves over finite fields Bars, Francesc Lario, Joan Carles Vruoni, Brikena Number Theory We carry out a survey on curves defined over finite fields that are Diophantine stable; that is, with the property that the set of points of the curve is not altered under a proper field extension. First, we derive some general results of such curves and then we analyze several families of curves that happen to be Diophantine stable. |
| title | Diophantine stability for curves over finite fields |
| topic | Number Theory |
| url | https://arxiv.org/abs/2409.07086 |