Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4595364 | Journal of Number Theory | 2009 | 10 Pages |
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
Sara Arias-de-Reyna, Núria Vila,