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Enriques surface fibrations with non-algebraic integral Hodge classes

Presented by: 
John Christian Ottem
Date: 
Monday 3rd February 2020 - 15:00 to 16:00
Venue: 
INI Seminar Room 2
Abstract: 
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.​




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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons