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Relative Manin-Mumford for semi-abelian surfaces (1307.1008v1)
Published 3 Jul 2013 in math.NT and math.AG
Abstract: We show that Ribet sections are the only obstruction to the validity of the relative Manin-Mumford conjecture for one dimensional families of semi-abelian surfaces. Applications include special cases of the Zilber-Pink conjecture for curves in a mixed Shimura variety of dimension four, as well as the study of polynomial Pell equations with non-separable discriminants.
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