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Remarks on motivic homotopy theory over algebraically closed fields

Published online by Cambridge University Press:  21 January 2010

Po Hu ,
Igor Kriz  and
Kyle Ormsby
Po Hu
Affiliation:
Department of Mathematics, Wayne State University, U.S.A., po@math.wayne.edu
Igor Kriz
Affiliation:
Department of Mathematics, Wayne State University, U.S.A., po@math.wayne.edu
Kyle Ormsby
Affiliation:
Department of Mathematics, Wayne State University, U.S.A., po@math.wayne.edu
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Abstract

We discuss certain calculations in the 2-complete motivic stable homotopy category over an algebraically closed field of characteristic 0. Specifically, we prove the convergence of motivic analogues of the Adams and Adams-Novikov spectral sequences, and as one application, discuss the 2-complete version of the complex motivic J -homomorphism.

Keywords

Motivic homotopy theoryAdams spectral sequencesJ -homomorphism
Type
Research Article
Information
Journal of K-Theory , Volume 7 , Issue 1 , February 2011 , pp. 55 - 89
Copyright
Copyright © ISOPP 2010

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