The universal abelian variety over 𝒜5
[La variété abélienne universelle sur 𝒜5 ]
Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 49 (2016) no. 3, pp. 521-542.

On établit un théorème de structure pour la variété abélienne universelle sur 𝒜5. Le résultat entraîne que le diviseur de la frontière de 𝒜¯6 est unirationnel et ceci donne lieu à une borne inférieure pour la pente du cône des diviseurs effectifs en 𝒜¯6.

We establish a structure result for the universal abelian variety over 𝒜5. This implies that the boundary divisor of 𝒜¯6 is unirational and leads to a lower bound on the slope of the cone of effective divisors on 𝒜¯6.

DOI : 10.24033/asens.2289
Classification : 14K10, 14H40, 14H10.
Keywords: Moduli of abelian varieties, universal abelian variety, slope, nodal conic bundle
Mot clés : Modules de variétés abéliennes, variété abélienne universelle, pente, fibré nodal conique 
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Farkas, Gavril; Verra, Alessandro. The universal abelian variety over $\mathcal {A}_5$. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 49 (2016) no. 3, pp. 521-542. doi : 10.24033/asens.2289. http://www.numdam.org/articles/10.24033/asens.2289/

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