

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






Birational unboundness of QFano threefolds (following the work of Jiayuan
Lin).
A. S. Trepalin^{} ^{} M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

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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.

