Chiungtze C. Tsen (nonfiction): Difference between revisions
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[[File:Chiungtze C. Tsen 1932.jpg|thumb|Chiungtze C. Tsen; 1932 near Göttingen.]]'''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 | [[File:Chiungtze C. Tsen 1932.jpg|thumb|Chiungtze C. Tsen; 1932 near Göttingen.]]'''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. | ||
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. | == Biography == | ||
Tsen was born in Nanchang, Jiangxi, | |||
He was one of [[Emmy Noether (nonfiction)|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.) | |||
== Career == | |||
One of his research interests was [[Quasi-algebraically closed field (nonfiction)|quasi-algebraic closure]]. In that area, in 1933 he proved [[Tsen's theorem (nonfiction)|Tsen's theorem]], which states that a function field K of an [[Algebraic curve (nonfiction)|algebraic curve]] over an algebraically closed field is quasi-algebraically closed (i.e., C1). This implies that the [[Brauer group (nonfiction)|Brauer group]] of any such field vanishes, and more generally that all the [[Galois cohomology (nonfiction)|Galois cohomology]] groups H i(K, K*) vanish for i ≥ 1. This result is used to calculate the [[Étale cohomology (nonfiction)|étale cohomology]] groups of an algebraic curve. | |||
In 1936 he introduced the [[Tsen rank (nonfiction)|Tsen rank]] of a field, describing conditions under which a system of [[Algebraic equation (nonfiction)|polynomial equations]] must have a solution in the [[Field (nonfiction)|field]]. | |||
He proved Tsen's theorem. | |||
== In the News == | == In the News == | ||
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* [[Emmy Noether (nonfiction)]] | * [[Emmy Noether (nonfiction)]] | ||
External links | == External links == | ||
* [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)]] | ||
Latest revision as of 16:24, 1 October 2020
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.
Biography
Tsen was born in Nanchang, Jiangxi,
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.)
Career
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.
He proved Tsen's theorem.
In the News
Fiction cross-reference
Nonfiction cross-reference
External links
- Chiungtze C. Tsen @ Wikipedia
- Tsen rank @ Wikipedia
- Tsen's theorem @ Wikipedia