Gersten Conjecture For Equivariant K-theory And Applications

2009/06/22 by Amalendu Krishna, Krishna, Amalendu
Mathematics · #14L15 #19D10 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #math.AG #msc:14L15 #msc:19D10

paper · pdf · doi:10.48550/arxiv.0906.3933

arxiv created 2009/06/22 · openalex publication_date 2009/06/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For a reductive group scheme over a regular semi-local ring, we prove an equivarinat version of the Gersten conjecture. We draw some interesting consequences for the representation rings of such reductive group schemes. We also prove the rigidity for the equivariant K-theory of reductive group schemes over a henselian local ring. This is then used to compute the equivariant K-theory of algebraically closed fields.

Citations

• Riemann-Roch For Equivariant K-Theory

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