The MathNet Korea
Information Center for Mathematical Science

세미나

Information Center for Mathematical Science

세미나

KAIST 수리과학과 세미나
Title Algebraic cycles and Verra fourfolds
Date 2019-01-21
Speaker Robert Laterveer(IRMA, CNRS Université de Strasbourg)
Sponsors 2019-01-21
Host KAIST
Place E6-1 Room 2411
Abstract 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). 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 multiple 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.