Finite groups of birational transformations

author: Yuri Prokhorov, Steklov Mathematical Institute
published: July 6, 2021,   recorded: July 2021,   views: 3

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I survey the classification theory of finite groups of birational transformations of higher-dimensional algebraic varieties. This theory has been significantly developed during the last 10 years due to the success of the minimal model program. I concentrate on certain properties of these groups in arbitrary dimension. Also, I am going to discuss the three-dimensional case in more details.

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