Chiungtze C. Tsen (nonfiction): Difference between revisions
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One of his research interests was quasi-algebraic closure. In that area, in 1933 he proved Tsen's theorem, which 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. | One of his research interests was quasi-algebraic closure. In that area, in 1933 he proved Tsen's theorem, which 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. | ||
In 1936 he introduced the Tsen rank of a field, describing conditions under which a system of polynomial equations must have a solution in the field. | |||
== In the News == | == In the News == | ||
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* [https://en.wikipedia.org/wiki/Chiungtze_C._Tsen Chiungtze C. Tsen] @ Wikipedia | * [https://en.wikipedia.org/wiki/Chiungtze_C._Tsen Chiungtze C. Tsen] @ Wikipedia | ||
* [https://en.wikipedia.org/wiki/Tsen_rank Tsen rank] @ Wikipedia | |||
* [https://en.wikipedia.org/wiki/Tsen%27s_theorem Tsen's theorem] @ Wikipedia | |||
[[Category:Nonfiction (nonfiction)]] | [[Category:Nonfiction (nonfiction)]] | ||
Revision as of 19:22, 1 October 2018
Chiungtze C. Tsen (Chinese: 曾炯之; pinyin: Zēng Jiǒngzhī; Wade–Giles: Tseng Chiung-chih, April 2, 1898 – October 1, 1940) was a Chinese mathematician born in Nanchang, Jiangxi, who proved Tsen's theorem. He was one of Emmy Noether's students at the University of Göttingen. He returned to China in 1935. After the full-scale Japanese invasion of China in 1937, he fled and eventually settled in Xikang, where he became a professor at the newly-founded National Xikang Institute of Technology. He died of a stomach ulcer in Xichang, Xikang on October 1, 1940, and a memorial service was held on November 18, 1940. (Many Chinese sources mistakenly give his date of death as November 1940.)
One of his research interests was quasi-algebraic closure. In that area, in 1933 he proved Tsen's theorem, which 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.
In 1936 he introduced the Tsen rank of a field, describing conditions under which a system of polynomial equations must have a solution in the field.
In the News
Fiction cross-reference
Nonfiction cross-reference
External links:
- Chiungtze C. Tsen @ Wikipedia
- Tsen rank @ Wikipedia
- Tsen's theorem @ Wikipedia