Galois symbol maps for abelian varieties over a $p$-adic field
Volume 197 / 2021
Acta Arithmetica 197 (2021), 137-157
MSC: Primary 14K15; Secondary 11R37.
DOI: 10.4064/aa191129-11-4
Published online: 9 November 2020
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 sense of the class field theory for curves over a $p$-adic field.
