Mathematics – Algebraic Geometry
Scientific paper
1999-10-26
Mathematics
Algebraic Geometry
AMS LaTeX 1.1, 4 pages. Author-supplied dvi file available at http://ucs.orst.edu/~reichstz/pub.html
Scientific paper
Let G be an algebraic group defined over an algebraically closed field k of
characteristic zero. We give a simple proof of the following result: if H^1(L,
G) = {1} for some finitely generated field extension L/k of transcendence
degree \ge 3 then H^1(K, G) = {1} for every field extension K/k.
Reichstein Zinovy
Youssin Boris
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