# The special fiber of the motivic deformation of the stable homotopy category is algebraic

@article{Gheorghe2021TheSF, title={The special fiber of the motivic deformation of the stable homotopy category is algebraic}, author={Bogdan Gheorghe and Guozhen Wang and Zhouli Xu}, journal={Acta Mathematica}, year={2021} }

For each prime $p$, we define a $t$-structure on the category $\widehat{S^{0,0}}/\tau\text{-}\mathbf{Mod}_{harm}^b$ of harmonic $\mathbb{C}$-motivic left module spectra over $\widehat{S^{0,0}}/\tau$, whose MGL-homology has bounded Chow-Novikov degree, such that its heart is equivalent to the abelian category of $p$-completed $BP_*BP$-comodules that are concentrated in even degrees. We prove that $\widehat{S^{0,0}}/\tau\text{-}\mathbf{Mod}_{harm}^b$ is equivalent to $\mathcal{D}^b({{BP}_*{BP…

## 22 Citations

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