English

Ax-Lindemann for \mathcal{A}_g

Number Theory 2013-11-19 v3 Logic

Abstract

We prove the Ax-Lindemann theorem for the coarse moduli space Ag\mathcal{A}_{g} of principally polarized abelian varieties of dimension g1g\ge 1, and affirm the Andr\'e-Oort conjecture unconditionally for Ag\mathcal{A}_{g} for g6g\le 6.

Keywords

Cite

@article{arxiv.1206.2663,
  title  = {Ax-Lindemann for \mathcal{A}_g},
  author = {Jonathan Pila and Jacob Tsimerman},
  journal= {arXiv preprint arXiv:1206.2663},
  year   = {2013}
}

Comments

21 pages. Accepted for publication in Annals of Mathematics

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