On a property of special groups

Details On a property of special groups On a property of special groups

1999-10-26

arxiv.org/abs/math/9910140v1

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.

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