Arithmetic Hodge structure and higher Abel-Jacobi maps

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In 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.
Latex2e, 20pages

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Algebraic Geometry, 14C30,32S35

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http://salesiana.dossiersoluciones.com/handle/123456789/78916

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9908019
 http://arxiv.org/abs/math/9908019

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arXiv