The Andre-Oort conjecture for Ag

• 成果类型: Article
• 署名作者: Tsimerman, Jacob
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2018.187.2.2
• 发表日期: 2018
• 页码: 379-390
• 关键词: abelian-varieties; galois orbits

摘要

We give a proof of the Andre-Oort conjecture for A(g) - the moduli space of principally polarized abelian varieties. In particular, we show that a recently proven averaged version of the Colmez conjecture yields lower bounds for Galois orbits of CM points. The Andre-Oort conjecture then follows from previous work of Pila and the author.