Pith. sign in

REVIEW 1 cited by

On the motive of the Hilbert scheme of points on a surface

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 math/0007043 v3 pith:62MKLNV3 submitted 2000-07-07 math.AG

Lothar Goettsche This is my paper · ORCID
classification math.AG
keywords classgrothendieckgrouphilbertpointsschemesurfaceapplications
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
read the original abstract

We determine the class of the Hilbert scheme of points on a surface in the Grothendieck group of varieties. As a corollary we obtain its class in the Grothendieck group of motives. We give some applications to moduli spaces of sheaves on surfaces. The paper is related to math/0005249 of de Cataldo and Migliorini.

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. Motivic (Representation) Stability of Representation Varieties and Character Stacks

    math.AG 2025-05 conditional novelty 5.0 of 10

    The paper defines motivic representation stability via finite-group motivic decompositions, states four conjectures for representation varieties of surface, free, and abelian groups, and verifies them for several matr...

Pith tools