

Iskovskikh Seminar
April 28, 2016 18:00, Moscow, Steklov Mathematical Institute, room 540






Universal triviality of zerocycles
S. O. Gorchinskiy^{} ^{} Steklov Mathematical Institute of Russian Academy of Sciences, Moscow

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Abstract:
We will discuss a certain explicit cohomological conditions on a smooth
projective threefold that is enough for universal triviality of
zerocycles on the threefold. We will consider two examples when these
conditions are satisfied: a threefold with a full exceptional collection
and a double covering of the projective space ramified over a quartic
with 10 singular points. In particular, for the second example, this
means that it is impossible to use Voisin's method in order to show
nonrationality of the threefold.

