For bounded-below classical spectra with even MU homology, the effective slices of their C-motivic analogues are wedges of motivic Eilenberg-MacLane spectra indexed by the Adams-Novikov E2-page.
and Wang, Guozhen and Xu, Zhouli , TITLE =
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Filtrations in $\mathbb{C}$-motivic stable homotopy theory
For bounded-below classical spectra with even MU homology, the effective slices of their C-motivic analogues are wedges of motivic Eilenberg-MacLane spectra indexed by the Adams-Novikov E2-page.