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Enriques surface fibrations with non-algebraic integral Hodge classes

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KAH - K-theory, algebraic cycles and motivic homotopy theory

I will explain a construction of a certain pencil of Enriques surfaces with non-algebraic integral Hodge classes of non-torsion type. This gives the first example of a threefold with trivial Chow group of zero-cycles on which the integral Hodge conjecture fails. If time permits, I will explain an application to a classical question of Murre on the universality of the Abel-Jacobi maps in codimension three. This is joint work with Fumiaki Suzuki.​




This talk is part of the Isaac Newton Institute Seminar Series series.

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King's College (the Audit Room) Room LG 18, Faculty of Law, 10 West Road, Cambridge Faculty of Education, Mary Allan Building,Boulind 8 & 9, Homerton College, Hills Road, Cambridge CB2 8PQ

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