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Steklov Mathematical Institute Seminar
April 18, 2024 16:00, Moscow, Steklov Mathematical Institute of RAS, Conference Hall (8 Gubkina)
 


Non-regularizable birational automorphisms

A. Kuznetsova

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
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A. Kuznetsova
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Abstract: A birational automorphism f of an algebraic variety X is an algebraic isomorphism of one Zariski open subset of X to another open subset. A natural question arises: is there a birational model of X where f induces a regular automorphism. This question is related to the invariants of the inverse image action of f on the singular cohomology groups of X. I am going to talk about this relation with an example of a birational automorphism of a three dimensional projective space which preserves a cubic surface pointwise.
 
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