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


Universal triviality of zero-cycles

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 zero-cycles 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 non-rationality of the threefold.

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