Pith. sign in

REVIEW

Construction of the motivic cellular spectrum $\mathbf{KO}^{geo}$ over $Spec(\mathbb{Z})$

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2303.02397 v2 pith:ABIPRWWF submitted 2023-03-04 math.AG math.ATmath.KT

K. Arun Kumar This is my paper · ORCID
classification math.AGmath.ATmath.KT
keywords spectrummathbfcellularconstructedmathbbmotivicspecback
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
abstract

We construct a periodic motivic spectrum over $Spec(\mathbb{Z})$ which when pulled back to any scheme $S$ with $\frac{1}{2}\in\Gamma(S,\mathcal{O}_S)$ is the $HP^1-$spectrum constructed by Panin and Walter. This spectrum $\mathbf{KO}^{geo}$ is constructed using closed subschemes of the Grassmannians $Gr(r,n)$. Using this we show that $\mathbf{KO}^{geo}$ is cellular.

Discussion (0). Continue with ORCID to comment.

Pith tools