Tsen's theorem
id:
tsen-s-theorem-310-4762817
title:
Tsen's theorem
text:
In mathematics, Tsen's theorem states that a function field K of an algebraic curve over an algebraically closed field is quasi-algebraically closed (i.e., C1). This implies that the Brauer group of any such field vanishes, and more generally that all the Galois cohomology groups H i(K, K*) vanish for i ≥ 1. This result is used to calculate the étale cohomology groups of an algebraic curve. The theorem was published by Chiungtze C. Tsen in 1933.
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wiki
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encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Tsen%27s_theorem
date created:
date modified:
2021-12-05T16:44:22Z
main entity:
{"identifier":"Q7849521","url":"https://www.wikidata.org/entity/Q7849521"}
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