Unfaking the fake Selmer group

Details Unfaking the fake Selmer group Unfaking the fake Selmer group

2011-08-16

arxiv.org/abs/1108.3364v1

Mathematics

Algebraic Geometry

11 pages

Scientific paper

For any abelian variety J over a global field k and an isogeny phi: J -> J, the Selmer group Sel^phi(J,k) is a subgroup of the Galois cohomology group H^1(Gal(k^s/k),J[phi]), defined in terms of local data. When J is the Jacobian of a cyclic cover of P^1, the Selmer group has a quotient by a subgroup of order at most 2 that is isomorphic to the `fake Selmer group', whose definition is more amenable to explicit computations. In this paper we define in the same setting the `unfake Selmer group', which is isomorphic to the Selmer group itself and just as amenable to explicit computations as the fake Selmer group.

Affiliated with

Also associated with

No associations

Rating

Unfaking the fake Selmer 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 Unfaking the fake Selmer group, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Unfaking the fake Selmer group will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-539581