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Isogenies of polyquadratic $ \mathbb{Q} $-curves to their Galois conjugates

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Abstract.

In this paper, we determine the field of definition of the isogenies of a \( \mathbb{Q} \)-curve without complex multiplication defined over a polyquadratic field to its Galois conjugates.

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  1. Escola Universitària Politècnica de Vilanova i la Geltrú, Departament de Matemàtica Aplicada i Telemàtica, Av. Victor Balaguer s/n, Vilanova i la Geltrú 08800, Spain, josepg@mat.upc.es, , , , , , ES

    J. González

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  1. J. González
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Eingegangen am 27. 9. 1999

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González, J. Isogenies of polyquadratic $ \mathbb{Q} $-curves to their Galois conjugates. Arch. Math. 77, 383–390 (2001). https://doi.org/10.1007/PL00000508

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  • DOI: https://doi.org/10.1007/PL00000508

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