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- W2952931023 abstract "We study links between algebraic cycles on threefolds and finite-dimensionality of their motives with coefficients in Q. We decompose the motive of a non-singular projective threefold X with representable algebraic part of CH_0(X) into Lefschetz motives and the Picard motive of a certain abelian variety, isogenous to the corresponding intermediate Jacobian J^2(X) when the ground field is C. In particular, it implies motivic finite-dimensionality of Fano threefolds over a field. We also prove representability of zero-cycles on several classes of threefolds fibered by surfaces with algebraic H^2. This gives another new examples of three-dimensional varieties whose motives are finite-dimensional." @default.
- W2952931023 created "2019-06-27" @default.
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- W2952931023 date "2008-06-01" @default.
- W2952931023 modified "2023-09-24" @default.
- W2952931023 title "Motives and representability of algebraic cycles on threefolds over a field" @default.
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- W2952931023 doi "https://doi.org/10.48550/arxiv.0806.0173" @default.
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