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arXiv · 1711.05230

Towards the dual motivic Steenrod algebra in positive characteristic

Martin Frankland·Markus Spitzweck
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Abstract

The dual motivic Steenrod algebra with mod $\ell$ coefficients was computed by Voevodsky over a base field of characteristic zero, and by Hoyois, Kelly, and {\O}stv{\ae}r over a base field of characteristic $p \neq \ell$. In the case $p = \ell$, we show that the conjectured answer is a retract of the actual answer. We also describe the slices of the algebraic cobordism spectrum $MGL$: we show that the conjectured form of $s_n MGL$ is a retract of the actual answer.

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Martin Frankland, Markus Spitzweck. 2017-11-14. Towards the dual motivic Steenrod algebra in positive characteristic. https://doi.org/10.1007/s00209-026-03967-z

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