Semi-topological K-theory for certain projective varieties

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In this paper we compute Lawson homology groups and semi-topological K-theory for some threefolds and fourfolds. We consider smooth complex projective varieties whose zero cycles are supported on a proper subvariety. Rationally connected varieties are examples of such varieties. The computation makes use of a technique of Bloch and Srinavas, of the Bloch-Kato conjecture and of the spectral sequence relating morphic cohomology and semi-topological K-theory.
25 pages; improved style, one proposition added

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K-Theory and Homology, Algebraic Geometry, 19-xx; 14-xx

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http://salesiana.dossiersoluciones.com/handle/123456789/107353

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0601008
 http://arxiv.org/abs/math/0601008

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arXiv