%0 Journal Article
%T Formal groups, supersingular abelian varieties and tame ramification
%A Sara Arias-de-Reyna
%J Mathematics
%D 2009
%I arXiv
%X Let us consider an abelian variety defined over $\mathbb{Q_{\ell}}$ with good supersingular reduction. In this paper we give explicit conditions that ensure that the action of the wild inertia group on the $\ell$-torsion points of the variety is trivial. Furthermore we give a family of curves of genus 2 such that their Jacobian surfaces have good supersingular reduction and satisfy these conditions. We address this question by means of a detailed study of the formal group law attached to abelian varieties.
%U http://arxiv.org/abs/0910.1212v1