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arXiv · 2204.03434

Motivic spectra and universality of $K$-theory

Toni Annala·Ryomei Iwasa
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Abstract

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.

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Toni Annala, Ryomei Iwasa. 2022-04-07. Motivic spectra and universality of $K$-theory. https://arxiv.org/abs/2204.03434

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