Pith. sign in

REVIEW 1 cited by

A moduli theoretic approach to Lagrangian subvarieties of hyperk\"ahler varieties: Examples

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 2203.13091 v1 pith:HHKQ2MJH submitted 2022-03-24 math.AG

Hanfei Guo , Zhiyu Liu , Shizhuo Zhang This is my paper · ORCID
classification math.AG
keywords ahlerhyperklagrangianvarietiesapproachconjecturesexamplesfourfolds
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
read the original abstract

We propose two conjectures on a moduli theoretic approach to constructing Lagrangian subvarieties of hyperk\"ahler varieties arising from the Kuznetsov components of cubic fourfolds or Gushel--Mukai fourfolds. Then we verify the conjectures in several cases, recovering classical examples. As a corollary, we confirm a conjecture of O'Grady in several instances on the existence of Lagrangian covering families for hyperk\"ahler varieties.

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. A note on geometry of Bridgeland Moduli spaces on Gushel-Mukai threefolds

    math.AG 2026-08 conditional novelty 6.0 of 10

    For general Gushel-Mukai threefolds, Bridgeland moduli spaces on the Kuznetsov component are normal, and for primitive numerical classes of odd square they are irreducible.

Pith tools