Enriques surface fibrations with non-algebraic integral Hodge classes
Duration: 1 hour 5 mins
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About this item
| Description: |
Ottem, J
Monday 3rd February 2020 - 15:00 to 16:00 |
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| Created: | 2020-02-06 11:52 |
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| Collection: | K-theory, algebraic cycles and motivic homotopy theory |
| Publisher: | Isaac Newton Institute |
| Copyright: | Ottem, J |
| Language: | eng (English) |
| Distribution: |
World
(downloadable)
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| Explicit content: | No |
| Aspect Ratio: | 16:9 |
| Screencast: | No |
| Bumper: | UCS Default |
| Trailer: | UCS Default |
| 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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