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http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/9715| Title: | A ruled residue theorem for function fields of elliptic curves |
| Authors: | Becher, Karim Johannes GUPTA, PARUL Mishra, Sumit Chandra Dept. of Mathematics |
| Keywords: | Mathematics 2024 |
| Issue Date: | Mar-2024 |
| Publisher: | Elsevier B.V. |
| Citation: | Journal of Pure and Applied Algebra, 228(03), 107492. |
| Abstract: | It is shown that a valuation of residue characteristic different from 2 and 3 on a field E has at most one extension to the function field of an elliptic curve over E, for which the residue field extension is transcendental but not ruled. The cases where such an extension is present are characterised. |
| URI: | https://doi.org/10.1016/j.jpaa.2023.107492 http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/9715 |
| ISSN: | 1873-1376 0022-4049 |
| Appears in Collections: | JOURNAL ARTICLES |
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