REVIEW 2 cited by
$\eta$-periodic motivic stable homotopy theory over Dedekind domains
Not yet reviewed by Pith; the record is open.
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
abstract
We construct well-behaved extensions of the motivic spectra representing generalized motivic cohomology and connective Balmer--Witt K-theory (among others) to mixed characteristic Dedekind schemes on which 2 is invertible. As a consequence we lift the fundamental fiber sequence of $\eta$-periodic motivic stable homotopy theory established in [arxiv:2005.06778] from fields to arbitrary base schemes, and use this to determine (among other things) the $\eta$-periodized algebraic symplectic and SL-cobordism groups of mixed characteristic Dedekind schemes containing 1/2.
Forward citations
Cited by 2 Pith papers
-
$\mathbb{A}^1$-invariant motivic cohomology of schemes
A new A1-invariant motivic cohomology for all qcqs schemes is constructed from the slice filtration of KGL, with a spectral sequence to homotopy K-theory and etale/syntomic comparisons.
-
Unstable motivic and real-\'etale homotopy theory
Real etale motivic homotopy theory over a scheme S is equivalent to sheaves of spaces on the real spectrum of S, and on pointed connected motivic spaces the real etale localization is the rho-telescope.
Discussion (0). Continue with ORCID to comment.