arXiv subjects

Aurélien Galateau

Publications and source records attributed to Aurélien Galateau.

2 recordsLinked to original sources

arXiv2020

Homothéties explicites des représentations $\ell$-adiques

We present classical and new results on the size of the subgroup of homotheties of $\ell$-adic representations associated to the torsion of an abelian variety. From these estimates, we derive uniform and explicit bounds for the Manin-Mumford problem.

math.NT↗

arXiv2017

A bound for the torsion on subvarieties of abelian varieties

We give a uniform bound on the degree of the maximal torsion cosets for subvarieties of an abelian variety. The proof combines algebraic interpolation and a theorem of Serre on homotheties in the Galois representation associated to the torsion subgroup of an abelian variety.

math.NT↗