Towards the dual motivic Steenrod algebra in positive characteristic
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2017
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| _version_ | 1866912913119248384 |
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| author | Frankland, Martin Spitzweck, Markus |
| author_facet | Frankland, Martin Spitzweck, Markus |
| contents | 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 Østvær 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1711_05230 |
| institution | arXiv |
| publishDate | 2017 |
| record_format | arxiv |
| spellingShingle | Towards the dual motivic Steenrod algebra in positive characteristic Frankland, Martin Spitzweck, Markus Algebraic Geometry Algebraic Topology 14F42 (Primary) 55P43 (Secondary) 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 Østvær 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. |
| title | Towards the dual motivic Steenrod algebra in positive characteristic |
| topic | Algebraic Geometry Algebraic Topology 14F42 (Primary) 55P43 (Secondary) |
| url | https://arxiv.org/abs/1711.05230 |