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Iskovskikh Seminar
February 6, 2020 18:00, Moscow, Steklov Mathematical Institute, room 530


Regular automorphisms of smooth threefolds with positive entropy

A. A. Kuznetsova

Abstract: I am going to explain the proof of the Lesieutre's Theorem classifying smooth threefolds with a structure of a regular automorphism with positive entropy. By this theorem either the canonical class of such a threefold is numerically trivial, or the automorphism is not primitive, i.e. it preserves a structure of a rational map to a variety of smaller dimension, or the automorphism extends to a regular automorphism of a blow-down of a divisor in the threefold. In particular, this implies that any automorphism with positive entropy on a sequence of blow-ups with smooth centers of a projective space is imprimitive.


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