Article ID Journal Published Year Pages File Type
4595364 Journal of Number Theory 2009 10 Pages PDF
Abstract

TextThis paper concerns the tame Galois inverse problem. For each prime number ℓ   we construct infinitely many semistable elliptic curves over QQ with good supersingular reduction at ℓ. The Galois action on the ℓ  -torsion points of these elliptic curves provides tame Galois realizations of GL2(Fℓ)GL2(Fℓ) over QQ.VideoFor a video summary of this paper, please visit http://www.youtube.com/watch?v=MsF9OVbPQYU.

Keywords
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Authors
, ,