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...

now called Tsen's theorem. Tsen was born in a poor fisherman's family in Xinjian Country, Nanchang, Jiangxi Province. His father Tschu-Wun Tsen (曾祖文 Zeng...

Riemann-Roch theorem and zeta-functions, and went on to make several contributions that now bear his name. Tsen, best remembered for proving Tsen's theorem, received...

geometry) Tsen's theorem (algebraic geometry) Weber's theorem (algebraic curves) Zariski's connectedness theorem (algebraic geometry) Zariski's main theorem (algebraic...

closed field; cf. Tsen's theorem). Br ⁡ ( R ) {\displaystyle \operatorname {Br} (\mathbb {R} )} has order 2 (a special case of the theorem of Frobenius)....

Tsen may refer to several Chinese language surname: Surname 曾, see Zeng Chiungtze C. Tsen, or Tsen Chiung-tze, Chinese mathematician Tsen rank Tsen's...

K), which is isomorphic to the Galois cohomology group H i(K, K*). Tsen's theorem implies that the Brauer group of a function field K in one variable...

function field of an algebraic curve over an algebraically closed field (Tsen's theorem). More generally, the Brauer group vanishes for any C1 field. K is an...

are isomorphic if and only if their function fields are isomorphic. Tsen's theorem is about the function field of an algebraic curve over an algebraically...

curve over an algebraically closed field has u ≤ 2; this follows from Tsen's theorem that such a field is quasi-algebraically closed. If F is a non-real...

algebraically closed. It is not known whether Tsen rank and Diophantine dimension are equal in general. Tsen's theorem Neukirch, Jürgen; Schmidt, Alexander; Wingberg...

Chevalley–Warning theorem. Algebraic function fields of dimension 1 over algebraically closed fields are quasi-algebraically closed by Tsen's theorem. The maximal...

14.2 and Theorem II.3.1. Hu (1965), Theorem III.8.1. Mardešiċ (1999), p. 245. Fritsch & Piccinini (1990), Theorem 5.2.1. Hu (1965), Theorem V.7.1. Borsuk...

localness (Theorem 3.1.1), and showed that the order required for a perceptron to compute connectivity grew with the input size (Theorem 5.5). Some critics...

mid-1960s, with results such as the Coates–Wiles theorem, Gross–Zagier theorem and Kolyvagin's theorem. Canonical height The canonical height on an abelian...

Sze-Tsen (July 1953). "The homotopy addition theorem". Annals of Mathematics. 58 (1): 108–122. doi:10.2307/1969822. JSTOR 1969822. Hu, Sze-Tsen (1956)...

single point of Sn. In the smooth case, it follows directly from Sard's Theorem. Therefore the homotopy group is the trivial group. When i = n, every map...

discoveries which found their origins in China. Chinese remainder theorem: The Chinese remainder theorem, including simultaneous congruences in number theory, was...

Chinese-American physicist, known for his work on parity violation, the Lee–Yang theorem, particle physics, relativistic heavy ion (RHIC) physics, nontopological...

1927. His 1935 lectures on the Foundations of Mathematics and Gödel's theorem inspired Alan Turing to embark on his work on the Entscheidungsproblem...

algebraic function fields and his proof of the generalized Riemann–Roch theorem for algebraic function fields (where the base field can be an arbitrary...

Aleksandrov, Soviet mathematician, known for his theorems including the Alexandrov's uniqueness theorem; in Volyn, Ryazan Governorate, Russian Empire (now...