Reference : Formal groups, supersingular abelian varieties and tame ramification
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/12160
Formal groups, supersingular abelian varieties and tame ramification
English
Arias De Reyna Dominguez, Sara mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
2011
Journal of Algebra
334
84--100
Yes (verified by ORBilu)
International
0021-8693
[en] Tame ramification ; Formal group ; Supersingular abelian variety
[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.
Researchers
http://hdl.handle.net/10993/12160
10.1016/j.jalgebra.2011.03.010
2787654 (2012f:11114)

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