Tame ramification; Formal group; Supersingular abelian variety
Abstract :
[en] Let us consider an abelian variety defined over the field of l-adic numbers with good supersingular reduction. In this paper we give explicit conditions that ensure that the action of the wild inertia group on the l-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.
Disciplines :
Mathematics
Author, co-author :
ARIAS DE REYNA DOMINGUEZ, Sara ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
Language :
English
Title :
Formal groups, supersingular abelian varieties and tame ramification
scite shows how a scientific paper has been cited by providing the context of the citation, a classification describing whether it supports, mentions, or contrasts the cited claim, and a label indicating in which section the citation was made.