The Chow $t$-structure on the $\infty$-category of motivic spectra
The Chow $t$-structure on the $\infty$-category of motivic spectra
We define the Chow $t$-structure on the $\infty$-category of motivic spectra $\mathcal{SH}(k)$ over an arbitrary base field $k$. We identify the heart of this $t$-structure $\mathcal{SH}(k)^{c\heartsuit}$ when the exponential characteristic of $k$ is inverted. Restricting to the cellular subcategory, we identify the Chow heart $\mathcal{SH}(k)^{\mathrm{cell},c\heartsuit}$ as the category of even …