Sesquilinear pairings on elliptic curves
Autor: | Stange, Katherine E. |
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Rok vydání: | 2024 |
Předmět: | |
Druh dokumentu: | Working Paper |
Popis: | 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. Comment: 19 pages; this version includes corrections, clarifications and expositional and notational improvements |
Databáze: | arXiv |
Externí odkaz: |