no. 2
Decompositions of an Abelian surface and quadratic forms
[Décompositions d’une surface abélienne et formes quadratiques]
Ma, Shouhei1
1 University of Tokyo Graduate School of Mathematical Sciences 3-8-1 Komaba, Meguro-ku Tokyo 153-8914 (Japan)
Annales de l'Institut Fourier, Tome 61 (2011) no. 2, pp. 717-743.

Quand une surface abélienne complexe admet une décomposition en produit de deux courbes elliptiques, combien y a-t-il de telles décompositions possibles ? Nous donnons des formules arithmétiques pour le nombre de telles décompositions.

When a complex Abelian surface can be decomposed into a product of two elliptic curves, how many decompositions does the Abelian surface admit? We provide arithmetic formulae for the number of such decompositions.

DOI : 10.5802/aif.2627
Classification : 14K02, 14H52, 11E16
Keywords: Abelian surface, elliptic curve, binary quadratic form
Mot clés : surface abélienne, courbe elliptique, forme quadratique
Ma, Shouhei 1

1 University of Tokyo Graduate School of Mathematical Sciences 3-8-1 Komaba, Meguro-ku Tokyo 153-8914 (Japan) 
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Ma, Shouhei. Decompositions of an Abelian surface and quadratic forms. Annales de l'Institut Fourier, Tome 61 (2011) no. 2, pp. 717-743. doi : 10.5802/aif.2627. http://www.numdam.org/articles/10.5802/aif.2627/

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