Ax-Lindemann for A_g

2012/06/12 by Jonathan Pila, Jacob Tsimerman, Pila, Jonathan +1
Mathematics · #11G18 #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Logic (math.LO) #Number Theory (math.NT) #math.LO #math.NT #msc:11G18

paper · pdf · doi:10.48550/arxiv.1206.2663

21 pages. Accepted for publication in Annals of Mathematics

openalex publication_date 2012/06/12 · arxiv created 2013/11/18 · arxiv updated 2013/11/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove the Ax-Lindemann theorem for the coarse moduli space A_g of principally polarized abelian varieties of dimension g≥ 1, and affirm the André-Oort conjecture unconditionally for A_g for g≤ 6.

Citations

• Arithmetic Subgroups of Algebraic Groups

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