Lawson Homology for projective varieties with C^*-action

Mathematics – Algebraic Geometry

Scientific paper

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13 pages

Scientific paper

The Lawson homology of a smooth projective variety with a $\C^*$-action is
given in terms of that of the fixed point set of this action. We also consider
such a decomposition for the Lawson homology of certain singular projective
varieties with a $\C^*$-action. As applications, we calculate the Lawson
homology and higher Chow groups for several examples.

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