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Iskovskikh Seminar
April 5, 2012 18:00, Moscow, Steklov Mathematical Institute, room 540

Birational unboundness of Q-Fano threefolds (following the work of Jiayuan Lin).

A. S. Trepalin

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

Abstract: A class of varieties $B$ is birationally bounded if there exists a morphism $f: X \rightarrow S$ between two varieties such that every variety from $B$ is birational to one of the geometric fibres of $f$. We prove that the family of $\mathbb Q$-Fano threefolds with Picard number one is birationally unbounded.