Minimal Reduction Type and Affine Springer Fibers

Anlong Chua

Minimal Reduction Type and Affine Springer Fibers

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 2504.05113 v1 pith:CMKGALL2 submitted 2025-04-07 math.RT

Anlong Chua This is my paper · ORCID

classification math.RT

keywords affinefibersminimalreductionspringerappearingcasecertain

verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments

read the original abstract

We extend a result of Yun on minimal reduction types to the parahoric case. This implies a uniqueness property for 2-special representations appearing in the cohomology of certain affine Springer fibers. Using this, we settle a conjecture of Lusztig on strata in a reductive group.

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

Cyclotomic level maps and associated varieties of simple affine vertex algebras
math.RT 2025-07 conditional novelty 7.0 of 10

A new map predicts the associated variety of every simple affine vertex algebra at integer levels above criticality as a single sheet, with compatibility theorems connecting it to reduction types and affine cells.

Pith tools