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A chain morphism for Adams operations on rational algebraic K-theory

2008/08/28 by Elisenda Feliu, Feliu, Elisenda
Computer Science · Mathematics · #19D99 #Advanced Algebra and Logic #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #math.AG #math.KT #msc:19D99

paper · pdf · doi:10.48550/arxiv.0808.3882

40 pages

openalex publication_date 2008/08/28 · arxiv created 2009/04/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For any regular noetherian scheme X and every k>0, we define a chain morphism between two chain complexes whose homology with rational coefficients is isomorphic to the algebraic K-groups of X tensored by the field of rational numbers. It is shown that these morphisms induce in homology the Adams operations defined by Gillet and Soule or the ones defined by Grayson.

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