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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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