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Algebraic cycles and Verra fourfolds

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Robert Laterveer
Don, 08/11/2018 - 10:30 - 12:00
MPIM Lecture Hall

A Verra fourfold is a smooth projective complex variety defined as a double cover of P^2x P^2 branched along a divisor of bidegree (2,2).
These varieties are similar to cubic fourfolds in several ways (Hodge theory, relation to hyperkaehler fourfolds, derived categories).
Inspired by these analogies, I consider the Chow ring of a Verra fourfold. Among other things, I will show that the multiplicative structure of this Chow ring has a curious K3-like property.

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