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Iskovskikh Seminar
December 20, 2012 18:00, Moscow, Steklov Mathematical Institute, room 540

On the birational automorphisms of varieties of general type (following the paper of Hacon–McKernan–Xu)

A. S. Trepalin

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: It will be showed that the number of birational automorphisms of a variety of general type $X$ is bounded by $c \cdot \operatorname{vol}(X,K_X)$, where $c$ is a constant which only depends on the dimension of $X$.