Deformation of Outer Representations of Galois Group

Details Deformation of Outer Representations of Galois Group Deformation of Outer Representations of Galois Group

2004-05-18

arxiv.org/abs/math/0405351v2

Mathematics

Number Theory

20 pages, some corrections are implemented in the revised version

Scientific paper

To a hyperbolic smooth curve defined over a number-field one naturally associates an "anabelian" representation of the absolute Galois group of the base field landing in outer automorphism group of the algebraic fundamental group. In this paper, we introduce several deformation problems for Lie-algebra versions of the above representation and show that, this way we get a richer structure than those coming from deformations of "abelian" Galois representations induced by the Tate module of associated Jacobian variety. We develop an arithmetic deformation theory of graded Lie algebras with finite dimensional graded components to serve our purpose.

Affiliated with

Also associated with

No associations

Rating

Deformation of Outer Representations of Galois Group does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Deformation of Outer Representations of Galois Group, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Deformation of Outer Representations of Galois Group will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-366519