Lawson Homology for projective varieties with C^*-action

2009/12/03 by Wenchuan Hu, Hu, Wenchuan
Mathematics · #14F43 #14L30 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.0912.0727

openalex publication_date 2009/12/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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