Two problems in arithmetic geometry. Explicit Manin-Mumford, and arithmetic Bernstein-Kusnirenko

CM Metzmeier - 2017 - theses.hal.science
In the first part of this thesis we present sharp bounds on the number of maximal torsion
cosets in a subvariety of a complex algebraic torus (ℂ^{x})^ n and of an Abelian variety. In …

Two problems in arithmetic geometry. Explicit Manin-Mumford, and arithmetic Bernstein-Kusnirenko

CM Metzmeier - 2017 - hal.science
In the first part of this thesis we present sharp bounds on the number of maximal torsion
cosets in a subvariety of a complex algebraic torus (ℂ^{x})^ n and of an Abelian variety. In …

Two problems in arithmetic geometry. Explicit Manin-Mumford, and arithmetic Bernstein-Kusnirenko| Theses. fr

CM Metzmeier - 2017 - theses.fr
Dans la première partie de cette thèse, on présente des bornes supérieures fines pour le
nombre de sous-variétés irréductibles de torsion maximales dans une sous-variété du tore …