Sesquilinear pairings on elliptic curves
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866914087103889408 |
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| author | Stange, Katherine E. |
| author_facet | Stange, Katherine E. |
| contents | Let $E$ be an elliptic curve with complex multiplication by a ring $R$, where $R$ is an order in an imaginary quadratic field or quaternion algebra. We define sesquilinear pairings ($R$-linear in one variable and $R$-conjugate linear in the other), taking values in an $R$-module, generalizing the Weil and Tate-Lichtenbaum pairings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_14167 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Sesquilinear pairings on elliptic curves Stange, Katherine E. Number Theory Algebraic Geometry 11G05, 14H52 Let $E$ be an elliptic curve with complex multiplication by a ring $R$, where $R$ is an order in an imaginary quadratic field or quaternion algebra. We define sesquilinear pairings ($R$-linear in one variable and $R$-conjugate linear in the other), taking values in an $R$-module, generalizing the Weil and Tate-Lichtenbaum pairings. |
| title | Sesquilinear pairings on elliptic curves |
| topic | Number Theory Algebraic Geometry 11G05, 14H52 |
| url | https://arxiv.org/abs/2405.14167 |