Simple groups of birational transformations in dimension two
classification
🧮 math.AG
math.GR
keywords
birationalsimpletransformationsgroupsactsahlerarbitraryclassify
read the original abstract
We classify simple groups that act by birational transformations on compact complex K\"ahler surfaces. Moreover, we show that every finitely generated simple group that acts non-trivially by birational transformations on a projective surface over an arbitrary field is finite.
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