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Vanishing lines for modules over the motivic Steenrod algebra. (English) Zbl 06860057
Summary: We study criteria for freeness and for the existence of a vanishing line for modules over certain Hopf subalgebras of the motivic Steenrod algebra over Spec$$\mathbb C$$ at the prime 2. These turn out to be determined by the vanishing of certain Margolis homology groups in the quotient Hopf algebra $$\mathcal A/\tau$$.
##### MSC:
 14F42 Motivic cohomology; motivic homotopy theory 55S10 Steenrod algebra
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