Decompositions of an Abelian surface and quadratic forms
[Décompositions d’une surface abélienne et formes quadratiques]
Ma, Shouhei
Annales de l'Institut Fourier, Tome 61 (2011), p. 717-743 / Harvested from Numdam
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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.

Publié le : 2011-01-01
DOI : https://doi.org/10.5802/aif.2627
Classification:  14K02,  14H52,  11E16
Mots clés: surface abélienne, courbe elliptique, forme quadratique 
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     title = {Decompositions of an Abelian surface and quadratic forms},
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     volume = {61},
     year = {2011},
     pages = {717-743},
     doi = {10.5802/aif.2627},
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Ma, Shouhei. Decompositions of an Abelian surface and quadratic forms. Annales de l'Institut Fourier, Tome 61 (2011) pp. 717-743. doi : 10.5802/aif.2627. http://gdmltest.u-ga.fr/item/AIF_2011__61_2_717_0/

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