Galois symbol maps for abelian varieties over a $p$-adic field
Number Theory
2019-11-26 v1
Abstract
We study the Galois symbol map associated to the multiplicative group and an abelian variety which has good ordinary reduction over a -adic field. As a byproduct, one can calculate the "class group" in the view of the class field theory for curves over a -adic field.
Keywords
Cite
@article{arxiv.1911.10669,
title = {Galois symbol maps for abelian varieties over a $p$-adic field},
author = {Toshiro Hiranouchi},
journal= {arXiv preprint arXiv:1911.10669},
year = {2019}
}