Third Galois cohomology group of function fields of curves over number fields

2017/06/09 by Venapally, Suresh
#11R58 #12G05 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1706.03089

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.

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