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arxiv: 1206.2663 · v3 · pith:55DSLJ6Tnew · submitted 2012-06-12 · 🧮 math.NT · math.LO

Ax-Lindemann for mathcal{A}_g

classification 🧮 math.NT math.LO
keywords mathcalax-lindemannabelianaffirmandrcoarseconjecturedimension
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We prove the Ax-Lindemann theorem for the coarse moduli space $\mathcal{A}_{g}$ of principally polarized abelian varieties of dimension $g\ge 1$, and affirm the Andr\'e-Oort conjecture unconditionally for $\mathcal{A}_{g}$ for $g\le 6$.

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