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arxiv: 1702.03683 · v2 · pith:EVU2OMA5new · submitted 2017-02-13 · 🧮 math.AT

Vanishing lines for modules over the motivic Steenrod algebra

classification 🧮 math.AT
keywords algebravanishingcertainhopfmodulesmotivicsteenrodcriteria
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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 $\mathrm{Spec}(\mathbb{C})$ at the prime 2. These turn out to be determined by the vanishing of certain Margolis homology groups in the quotient Hopf algebra $\mathcal{A}/\tau$.

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