Pith. sign in

REVIEW 1 cited by

Singularities of local models

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 2208.12072 v3 pith:F7EU6QV2 submitted 2022-08-25 math.AG math.NT

Najmuddin Fakhruddin , Thomas Haines , João Lourenço , Timo Richarz This is my paper · ORCID
classification math.AGmath.NT
keywords characteristiclocalmodelssingularitiesconstructgroupspseudo-ramified
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
abstract

We construct local models of Shimura varieties and investigate their singularities, with special emphasis on wildly ramified cases. More precisely, with the exception of odd unitary groups in residue characteristic $2$ we construct local models, show reducedness of their special fiber, Cohen$-$Macaulayness and in equi-characteristic also (pseudo-)rationality. In mixed characteristic we conjecture their (pseudo-)rationality. This is based on the construction of parahoric group schemes over two-dimensional bases for wildly ramified groups and an analysis of singularities of the attached Schubert varieties in positive characteristic using perfect geometry.

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. Irreducibility of Local Models

    math.AG 2024-12 conditional novelty 8.0 of 10

    Irreducibility of local models is classified by double quotients of relative Weyl groups, and all fibers of level-changing maps are single Schubert varieties.

Pith tools