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On a result of Imin Chen. (Sur un rĂ©sultat d’Imin Chen.) (French) Zbl 0968.14024
Given a prime \(p\), a result of I. Chen [Proc. Lond. Math. Soc. (3) 77, 1-38 (1998; Zbl 0903.11019)] shows that there is an isogeny between Jacobians of modular curves associated to subgroups of \(GL_2 (\mathbb F_p)\). In this paper the authors generalize this result by considering objects with actions by \(GL_2 (\mathbb F)\), with \(\mathbb F\) an arbitrary finite field, in more general additive categories.

MSC:
14K02 Isogeny
14H40 Jacobians, Prym varieties
11G18 Arithmetic aspects of modular and Shimura varieties
14G35 Modular and Shimura varieties
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