Motivic spectra and universality of $K$-theory
Algebraic Geometry
2025-04-18 v3 Algebraic Topology
K-Theory and Homology
Abstract
We develop a theory of motivic spectra in a broad generality; in particular -homotopy invariance is not assumed. As an application, we prove that -theory of schemes is a universal Zariski sheaf of spectra which is equipped with an action of the Picard stack and satisfies projective bundle formula.
Cite
@article{arxiv.2204.03434,
title = {Motivic spectra and universality of $K$-theory},
author = {Toni Annala and Ryomei Iwasa},
journal= {arXiv preprint arXiv:2204.03434},
year = {2025}
}
Comments
v3: 47 pages, small corrections and edits, the numbering has not been changed from v2