Geodesic
Galois action on $\bar{\mathbb Q}$-isogeny classes of abelian $L$-surfaces with quaternionic multiplication
Santiago Molina1
1 Centre de Recerca Matemática CRM 08176 Bellaterra, Barcelona, Spain
Acta Arithmetica, Tome 181 (2017) no. 4, pp. 369-392

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We construct a projective Galois representation attached to an abelian $L$-surface with quaternionic multiplication, describing the Galois action on its Tate module. We prove that such a representation characterizes the Galois action on the isogeny class of the abelian $L$-surface, seen as a set of points of a certain Shimura curve.
DOI : 10.4064/aa170504-20-9
Keywords: construct projective galois representation attached abelian l surface quaternionic multiplication describing galois action its tate module prove representation characterizes galois action isogeny class abelian l surface seen set points certain shimura curve

Santiago Molina 1

1 Centre de Recerca Matemática CRM 08176 Bellaterra, Barcelona, Spain 
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Santiago Molina. Galois action on $\bar{\mathbb Q}$-isogeny classes of abelian $L$-surfaces with quaternionic multiplication. Acta Arithmetica, Tome 181 (2017) no. 4, pp. 369-392. doi: 10.4064/aa170504-20-9

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