Sesquilinear pairings on elliptic curves

Autor: Stange, Katherine E.
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