Growth of Selmer Groups over function fields

Details Growth of Selmer Groups over function fields Growth of Selmer Groups over function fields

2011-06-16

arxiv.org/abs/1106.3287v2

Mathematics

Number Theory

Scientific paper

We study the rank of the $p$-Selmer group $Sel_p(A/k)$ of an abelian variety $A/k$, where $k$ is a function field. If $K/k$ is a quadratic extension and $F/k$ is a dihedral extension and the $\mathbb{Z}_p$-corank of $Sel_p (A/K)$ is odd, we show that the $\mathbb{Z}_p$-corank of $Sel_p(A/F) \geq [F:K]$. The result uses the theory of local constants developed by Mazur-Rubin for elliptic curves over number fields.

Affiliated with

Also associated with

No associations

Rating

Growth of Selmer Groups over function fields 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 Growth of Selmer Groups over function fields, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Growth of Selmer Groups over function fields will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-190518