Number theory - Rational points in periodic analytic sets and the Manin-Mumford conjecture

We present a new proof of the Manin-Mumford conjecture about torsion points on algebraic subvarieties of abelian varieties. Our principle, which admits other applications, is to view torsion points as rational points on a complex torus and then compare (i) upper bounds for the number of rational poi...

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Detalhes bibliográficos
Principais autores: Pila, J, Zannier, U
Formato: Journal article
Publicado em: 2008