no. 2
Decompositions of an Abelian surface and quadratic forms
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, Volume 61 (2011) no. 2, pp. 717-743.

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.

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.

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, Volume 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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