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

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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 Q. These morphisms induce in homology the Adams operations defined by Gillet and Soulé or the ones defined by Grayson.
OriginalsprogEngelsk
TidsskriftJournal of K-Theory
Vol/bind5
Udgave nummer2
Sider (fra-til)349-402
Antal sider54
ISSN1865-2433
DOI
StatusUdgivet - 2010

ID: 40285436