Displaying similar documents to “Formal groups and stable homotopy of commutative rings.”

An introduction to algebraic K-theory

Ausoni, Christian

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This paper gives an exposition of algebraic K-theory, which studies functors K n : Rings → Abelian Groups , n an integer. Classically n = 0 , 1 introduced by Bass in the mid 60’s (based on ideas of Grothendieck and others) and n = 2 introduced by Milnor [Introduction to algebraic K-theory, Annals of Math. Studies, 72, Princeton University Press, 1971: Zbl 0237.18005]. These functors are defined and applications to topological K-theory (Swan), number theory, topology and geometry (the Wall finiteness obstruction to a CW-complex...

Homotopy representability of Brauer groups.

Antonio Martínez Cegarra (1999)

Extracta Mathematicae

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The purpose of this paper is to present certain facts and results showing a way through which simplicial homotopy theory can be used in the study of Auslander-Goldman-Brauer groups of Azumaya algebras over commutative rings.

Motivic functors.

Dundas, Bjørn Ian, Röndigs, Oliver, Østvær, Paul Arne (2003)

Documenta Mathematica

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