Galois symbol maps for abelian varieties over a p-adic field

2019/11/25 by Hiranouchi, Toshiro
#11G07 #11R37 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1911.10669

Abstract

We study the Galois symbol map associated to the multiplicative group and an abelian variety which has good ordinary reduction over a p-adic field. As a byproduct, one can calculate the "class group" in the view of the class field theory for curves over a p-adic field.

Related

• Class field theory for curves over p-adic fields
• Milnor K-groups attached to elliptic curves over a p-adic field
• Computing the Galois group of a polynomial over a p-adic field
• On the cycle map for products of elliptic curves over a p-adic field
• ℓ-adic class field theory for regular local rings