The automorphism theorem and additive group actions on the affine plane
classification
🧮 math.AC
math.AG
keywords
affineautomorphismplanetheoremactionactionsadditivearbitrary
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Due to Rentschler, Miyanishi and Kojima, the invariant ring for a ${\bf G}_a$-action on the affine plane over an arbitrary field is generated by one coordinate. In this note, we give a new short proof for this result using the automorphism theorem of Jung and van der Kulk.
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