Geodesic
Ax-Lindemann for $\mathcal{A}_g$
Jonathan Pila1 ; Jacob Tsimerman2
1 Mathematical Institute, University of Oxford, UK
2 Harvard University, Cambridge, MA
Annals of mathematics, Tome 179 (2014) no. 2, pp. 659-681.

Voir la notice de l'article provenant de la source Annals of Mathematics website

We prove the Ax-Lindemann theorem for the coarse moduli space $\mathcal{A}_{g}$ of principally polarized abelian varieties of dimension $g\ge 1$. We affirm the André-Oort conjecture unconditionally for $\mathcal{A}_g$ for $g\le 6$, and under GRH for all $g$.
DOI : 10.4007/annals.2014.179.2.5

Jonathan Pila 1 ; Jacob Tsimerman 2

1 Mathematical Institute, University of Oxford, UK
2 Harvard University, Cambridge, MA 
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Jonathan Pila; Jacob Tsimerman. Ax-Lindemann for $\mathcal{A}_g$. Annals of mathematics, Tome 179 (2014) no. 2, pp. 659-681. doi : 10.4007/annals.2014.179.2.5. http://geodesic.mathdoc.fr/articles/10.4007/annals.2014.179.2.5/

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