Arithmetic Hodge structure and higher Abel-Jacobi maps

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dc.creatorAsakura, Masanori
dc.date1999-08-05
dc.date.accessioned2026-07-07T05:30:12Z
dc.date.available2026-07-07T05:30:12Z
dc.descriptionIn this paper, we show some applications to algebraic cycles by using higher Abel-Jacobi maps which were defined in [the author: Motives and algebraic de Rham cohomology]. In particular, we prove that the Beilinson conjecture on algebraic cycles over number fields implies the Bloch conjecture on zero-cycles on surfaces. Moreover, we construct a zero-cycle on a product of curves whose Mumford invariant vanishes, but not higher Abel-Jacobi invariant.
dc.descriptionLatex2e, 20pages
dc.identifierhttps://arxiv.org/abs/math/9908019
dc.identifierhttp://arxiv.org/abs/math/9908019
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78916
dc.subjectAlgebraic Geometry
dc.subject14C30,32S35
dc.titleArithmetic Hodge structure and higher Abel-Jacobi maps
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