A Nisnevich local Bloch-Ogus theorem over a general base

Deshmukh, Neeraj; Kulkarni, Girish; Yadav, Suraj

doi:10.1016/j.jpaa.2021.106978

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2022

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“…Remark 1.3. Using recent results on Gersten resolutions [12], our results may be extended to regular J2 schemes instead of just Dedekind schemes. Alternatively, using the cdh topology instead of the Nisnevich one, they may be extended to all schemes.…”

Section: Introductionmentioning

confidence: 99%

η$\eta$‐Periodic motivic stable homotopy theory over Dedekind domains

Bachmann¹

2022

Journal of Topology

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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 𝜂-periodic motivic stable homotopy theory established in Bachmann and Hopkins (2020) from fields to arbitrary base schemes, and use this to determine (among other things) the 𝜂-periodized algebraic symplectic and SL-cobordism groups of mixed characteristic Dedekind schemes containing 1∕2.

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Section: Introductionmentioning

confidence: 99%

η$\eta$‐Periodic motivic stable homotopy theory over Dedekind domains

Bachmann¹

2022

Journal of Topology

View full text Add to dashboard Cite

show abstract

A Nisnevich local Bloch-Ogus theorem over a general base

Cited by 1 publication

References 6 publications

η$\eta$‐Periodic motivic stable homotopy theory over Dedekind domains

η$\eta$‐Periodic motivic stable homotopy theory over Dedekind domains

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