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The André–Oort conjecture for the moduli space of abelian surfaces

Part of: Model theory Arithmetic algebraic geometry

Published online by Cambridge University Press:  11 December 2012

Jonathan Pila  and
Jacob Tsimerman
Jonathan Pila
Affiliation:
Mathematical Institute, University of Oxford, 24-29 St Giles, Oxford OX1 3LB, UK (email: Jonathan.Pila@maths.ox.ac.uk)
Jacob Tsimerman
Affiliation:
Mathematics Department, Harvard University, One Oxford Street, Cambridge, MA 02138, USA (email: jacobt@math.harvard.edu)
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Abstract

We provide an unconditional proof of the André–Oort conjecture for the coarse moduli space 𝒜2,1 of principally polarized abelian surfaces, following the strategy outlined by Pila–Zannier.

Keywords

André–Oort conjecturemoduli of abelian surfaces

MSC classification

Secondary: 11G18: Arithmetic aspects of modular and Shimura varieties 03C64: Model theory of ordered structures; o-minimality

Information

Type
Research Article
Information
Compositio Mathematica , Volume 149 , Issue 2 , February 2013 , pp. 204 - 216
Copyright
© The Author(s) 2012

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