Third Galois cohomology group of function fields of curves over number fields
Number Theory
2017-06-13 v1
Abstract
Let F be the function field of a curve over totally imaginary number field. Let p be a prime. If F contains a primitive p th root of unity, then every element in the third Galois cohomology group of F with values in the group of p th roots of unity, is a symbol.
Cite
@article{arxiv.1706.03089,
title = {Third Galois cohomology group of function fields of curves over number fields},
author = {Suresh Venapally},
journal= {arXiv preprint arXiv:1706.03089},
year = {2017}
}