Pith. sign in

REVIEW 1 cited by

On the relative Gersten conjecture for Milnor K-theory in the smooth case

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 2010.02622 v4 pith:YY5CMCF4 submitted 2020-10-06 math.AG math.KT

Morten Lüders This is my paper · ORCID
classification math.AGmath.KT
keywords cohomologydiscretefirstgerstenk-theorymilnorplacering
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

We show that the Gersten complex for the (improved) Milnor K-sheaf on a smooth scheme over an excellent discrete valuation ring is exact except at the first place and that exactness at the first place may be checked at the discrete valuation ring associated to the the generic point of the special fiber. This complements results of Gillet and Levine for K-theory, Geisser for motivic cohomology and Schmidt and Strunk and the author for \'etale cohomology.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Weibel vanishing and the projective bundle formula for mixed characteristic motivic cohomology

    math.AG 2025-07 conditional novelty 7.0 of 10

    Mixed characteristic motivic cohomology satisfies Weibel vanishing, the projective bundle formula, comparison to Milnor K-theory, and pro cdh descent.

Pith tools