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

Suresh Venapally

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arXiv · 1706.03089

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

Suresh Venapally

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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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Suresh Venapally. 2017-06-09. Third Galois cohomology group of function fields of curves over number fields. https://arxiv.org/abs/1706.03089

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