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Semi-topological K-theory for certain projective varieties

Mircea Voineagu
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Abstract

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.

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Mircea Voineagu. 2006-12-11. Semi-topological K-theory for certain projective varieties. https://arxiv.org/abs/math/0601008

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