Pith. sign in

REVIEW 1 cited by

On the geometric P=W conjecture

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 1810.11837 v4 pith:D5ZAPOQO submitted 2018-10-28 math.AG

Mirko Mauri , Enrica Mazzon , Matthew Stevenson This is my paper · ORCID
classification math.AG
keywords geometriccharacterconjecturegenusvarietiesarbitrarybirationalboundary
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
read the original abstract

We formulate the geometric P=W conjecture for singular character varieties. We establish it for compact Riemann surfaces of genus one, and obtain partial results in arbitrary genus. To this end, we employ non-Archimedean, birational and degeneration techniques to study the topology of the dual boundary complex of certain character varieties. We also clarify the relation between the geometric and the cohomological P=W conjectures.

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. The Frobenius structure theorem for affine log Calabi-Yau varieties containing a torus

    math.AG 2019-08 accept novelty 8.0 of 10

    Naive counts of rational curves in an affine log Calabi-Yau variety containing a torus uniquely determine a Frobenius algebra, now proved via non-archimedean analytic disk counting.

Pith tools