A note on extended genus fields of Kummer extensions of rational function fields
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866911787807408128 |
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| author | Rzedowski-Calderón, Martha Villa-Salvador, Gabriel |
| author_facet | Rzedowski-Calderón, Martha Villa-Salvador, Gabriel |
| contents | We consider the generalization of the extended genus field of a prime degree cyclic Kummer extension of a rational function field obtained by R. Clement in 1992 to general Kummer extensions. We observe that the same approach of Clement works in general. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_01021 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A note on extended genus fields of Kummer extensions of rational function fields Rzedowski-Calderón, Martha Villa-Salvador, Gabriel Number Theory 11R58, 11R29 We consider the generalization of the extended genus field of a prime degree cyclic Kummer extension of a rational function field obtained by R. Clement in 1992 to general Kummer extensions. We observe that the same approach of Clement works in general. |
| title | A note on extended genus fields of Kummer extensions of rational function fields |
| topic | Number Theory 11R58, 11R29 |
| url | https://arxiv.org/abs/2403.01021 |