Pith. sign in

REVIEW 1 cited by

Twisted cubics on cubic fourfolds and stability conditions

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 1802.01134 v2 pith:F5JVWPTQ submitted 2018-02-04 math.AG

Chunyi Li , Laura Pertusi , Xiaolei Zhao This is my paper
classification math.AG
keywords cubicfourfoldseightfoldfanofourfoldlehntheoremtorelli
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

We give an interpretation of the Fano variety of lines on a cubic fourfold and of the hyperkahler eightfold, constructed by Lehn, Lehn, Sorger and van Straten from twisted cubic curves in a cubic fourfold non containing a plane, as moduli spaces of Bridgeland stable objects in the Kuznetsov component. As a consequence, we reprove the categorical version of Torelli Theorem for cubic fourfolds, we obtain the identification of the period point of LLSvS eightfold with that of the Fano variety, and we discuss derived Torelli Theorem for cubic fourfolds.

Discussion (0). Sign in to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. The hyper-Kummer construction

    math.AG 2026-07 accept novelty 8.0 of 10

    A higher-dimensional Kummer construction associates K3^[3]-type hyper-Kähler sixfolds to Kum^3-type sixfolds, with applications to motives, derived categories, and algebraic cycle conjectures.

Pith tools