Pith. sign in

REVIEW 1 cited by

Specialization maps for Scholze's category of diamonds

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 2012.05483 v4 pith:35PM442M submitted 2020-12-10 math.AG math.NT

Ian Gleason This is my paper · ORCID
classification math.AGmath.NT
keywords specializationdiamondsformalkimberlitessitethemanalyticattach
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

We introduce the specialization map in Scholzes theory of diamonds. We consider v-sheaves that behave like formal schemes and call them kimberlites. We attach to them: a reduced special fiber, an analytic locus, a specialization map, a Zariski site, and an etale site. When the kimberlite comes from a formal scheme, our sites recover the classical ones. We prove that unramified p-adic Beilinson--Drinfeld Grassmannians are kimberlites with finiteness and normality properties.

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. Formal models for relative adic spaces

    math.AG 2025-07 conditional novelty 8.0 of 10

    Uniform qcqs adic spaces over any Tate affinoid base are shown to be equivalent to integrally closed formal models up to normalized formal blow-ups.

Pith tools