Pith. sign in

REVIEW 2 cited by

One-nodal Fano threefolds with Picard number one

Not yet reviewed by Pith; the record is open.

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 2312.13782 v2 pith:R2YIT7TH submitted 2023-12-21 math.AG

classification math.AG
keywords fanopicardthreefoldsdegenerationsdescribenumbersmoothclassify
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
read the original abstract

We classify all 1-nodal degenerations of smooth Fano threefolds with Picard number 1 (both nonfactorial and factorial) and describe their geometry. In particular, we describe a relation between such degenerations and smooth Fano threefolds of higher Picard rank and with unprojections of complete intersection varieties.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 2 Pith papers

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

  1. On smooth rationally connected projective threefolds of Picard number two admitting int-amplified endomorphisms

    math.AG 2025-06 accept novelty 8.0 of 10

    A smooth rationally connected projective threefold of Picard number two is toric if and only if it admits an int-amplified endomorphism.

  2. Spinor modifications of conic bundles and derived categories of 1-nodal Fano threefolds

    math.AG 2025-02 accept novelty 7.0 of 10

    A new spinor modification construction relates conic bundles with equivalent kernel categories, yielding explicit derived category descriptions for 1-nodal Fano threefolds.

Pith tools