English

Motivic strict ring models for K-theory

Algebraic Topology 2009-07-24 v1 K-Theory and Homology

Abstract

It is shown that the K-theory of every noetherian base scheme of finite Krull dimension is represented by a strict ring object in the setting of motivic stable homotopy theory. The adjective `strict' is used to distinguish between the type of ring structure we construct and one which is valid only up to homotopy. Both the categories of motivic functors and motivic symmetric spectra furnish convenient frameworks for constructing the ring models. Analogous topological results follow by running the same type of arguments as in the motivic setting.

Keywords

Cite

@article{arxiv.0907.4121,
  title  = {Motivic strict ring models for K-theory},
  author = {Oliver Röndigs and Markus Spitzweck and Paul Arne Østvær},
  journal= {arXiv preprint arXiv:0907.4121},
  year   = {2009}
}

Comments

16 pages, uses xypic

R2 v1 2026-06-21T13:28:20.506Z