Convergence of the Motivic Adams Spectral Sequence

62 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Galois equivariance and stable motivic homotopy theory (2014, background): “This is the weight zero portion of the p-primary motivic Adams spectral sequence constructed in [28] over k (when Y = Sk) or over L (when Y = Spec(L)+).”
The motivic Steenrod algebra in positive characteristic (2013, background): “(SmS), M∗∗E is a left comodule over A∗∗. For instance, the E2-page of the homological motivic Adams spectral sequence is comprised of Ext-groups in the category of A∗∗-comodules. See e.g., [DI10] and [HKO11] for precise statements concerning the construction and convergence of the motivic Adams spec”
Synthetic spectra and the cellular motivic category (2018, background): “equivalences, rather than S0,0/p-equivalences. In the cellular setting, these twonotions of p-completioncoincide forso called motivic spectraofﬁnite type, in particular for ﬁnite motivic spectra, see [HKO11a] and [HKO11b][Lemma 28] at p = 2. We now recall a few facts about the motivic Adams-Novikov ”
Low-dimensional Milnor–Witt stems over ℝ (2015, background): “(According to [8], this completion is also the 2-completion of the motivic sphere spectrum, but this is not essential for our calculations.”
The special fiber of the motivic deformation of the stable homotopy category is algebraic (2018, background): “See [27] for a general discussion regarding the effect of homotopy groups with respect to the HF p -completion.”