Non-linearizable Actions of Commutative Reductive Groups

Mathematics – Algebraic Geometry

Scientific paper

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10 pages; revised version, proofs clarified

Scientific paper

We generalize a construction of Freudenburg and Moser-Jauslin in order to
obtain an example of a non-linearizable action of a commutative reductive
algebraic group on the affine space for every field of characteristic zero
which admits a quadratic field extension.

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