On the stable rationality of $X/G$

Details On the stable rationality of $X/G$ On the stable rationality of $X/G$

1992-12-04

arxiv.org/abs/alg-geom/9212002v2

Mathematics

Algebraic Geometry

38 pages, LaTeX. I have to retract my manuscript: There is a serious error in the proof of Lemma 4.3.3. In the proof, I incorr

Scientific paper

Let $G$ be a connected, reductive algeraic group whose Dynkin diagram
contains no components of type $G_2,$ $F_4,$ $E_6,$ $E_7$ or $E_8.$ That is,
all the components are of classical type. Suppose $X$ is an affine variety, and
suppose $G$ acts freely on $X.$ Then $X$ and $X/G$ are stably birationally
equivalent.

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