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Drew Heard and Achim Krause
Vanishing lines for modules over the motivic Steenrod algebra view print
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| Published: |
February 10, 2018 |
| Keywords: |
Cohomology of the Steenrod algebra, vanishing line, motivic homotopy theory. |
| Subject: |
14F42,55S10 |
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Abstract
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 C at the prime 2. These turn out to be determined by the vanishing of certain Margolis homology groups in the quotient Hopf algebra A/τ.
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| Acknowledgements
The first author is grateful to the Max Planck Institute for Mathematics and the Universität Hamburg for hospitality, and to the Max Planck Institute and DFG Schwerpunktprogramm SPP 1786 for financial support. The second author is grateful to the Max Planck Institute for Mathematics and the International Max Planck Research School for hospitality and financial support.
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| Author information
Drew Heard:
Fachbereich Mathematik der Universität Hamburg, Bundesstrasse 55, 20146 Hamburg, Germany
drew.heard@uni-hamburg.de
Achim Krause:
Max-Planck-Institute for Mathematics, Vivatsgasse 7, 53111 Bonn, Germany
achim@mpim-bonn.mpg.de
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