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On a result of Imin Chen. (Sur un résultat 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
##### Keywords:
Jacobians of modular curves; isogeny
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