arXiv:2204.03434 Abstract | arXiv Analytics

arXiv:2204.03434 [math.AG]Abstract References Reviews Resources

Motivic spectra and universality of $K$-theory

Published 2022-04-07Version 1

We develop a theory of motivic spectra in a broad generality; in particular $\mathbb{A}^1$-homotopy invariance is not assumed. As an application, we prove that $K$-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.

Comments: 44 pages. Comments welcome!

Categories: math.AG, math.AT, math.KT

Keywords: motivic spectra, universality, satisfies projective bundle formula, universal zariski sheaf, homotopy invariance

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