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- W4310921369 abstract "We discuss two properties of an abelian variety, namely, being a direct summand in a product of Jacobians and the weaker property of being split. We relate the first property to the integral Hodge conjecture for curve classes on abelian varieties. We also relate both properties to the existence problem for universal zero-cycles on Brauer-Severi varieties over abelian varieties. A similar relation is established for the existence problem of a universal codimension 2 cycle on a cubic threefold." @default.
- W4310921369 created "2022-12-21" @default.
- W4310921369 creator A5068122125 @default.
- W4310921369 date "2022-12-06" @default.
- W4310921369 modified "2023-10-18" @default.
- W4310921369 title "Cycle classes on abelian varieties and the geometry of the Abel-Jacobi map" @default.
- W4310921369 doi "https://doi.org/10.48550/arxiv.2212.03046" @default.
- W4310921369 hasPublicationYear "2022" @default.
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