 Tsen's theorem

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.