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- W2950554481 abstract "We prove that there exists a pencil of Enriques surfaces defined over $mathbb{Q}$ with non-algebraic integral Hodge classes of non-torsion type. This gives the first example of a threefold with the trivial Chow group of zero-cycles on which the integral Hodge conjecture fails. As an application, we construct a fourfold which gives the negative answer to a classical question of Murre on the universality of the Abel-Jacobi maps in codimension three." @default.
- W2950554481 created "2019-06-27" @default.
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- W2950554481 date "2019-06-21" @default.
- W2950554481 modified "2023-09-25" @default.
- W2950554481 title "A pencil of Enriques surfaces with non-algebraic integral Hodge classes" @default.
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- W2950554481 doi "https://doi.org/10.48550/arxiv.1906.08994" @default.
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