Pith. sign in

REVIEW 3 cited by

Quasi-F-splittings in birational geometry

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 2208.08016 v2 pith:5JD3BJLK submitted 2022-08-17 math.AG math.AC

Tatsuro Kawakami , Teppei Takamatsu , Hiromu Tanaka , Jakub Witaszek , Fuetaro Yobuko , Shou Yoshikawa This is my paper · ORCID
classification math.AGmath.AC
keywords quasi-birationalgeometrysplittheoryamongstapplicationscartier
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
abstract

We develop the theory of quasi-$F$-splittings in the context of birational geometry. Amongst other things, we obtain results on liftability of sections and establish a criterion for whether a scheme is quasi-$F$-split employing the higher Cartier operator. As one of the applications of our theory, we prove that three-dimensional klt singularities in large characteristic are quasi-$F$-split, and so, in particular, they lift modulo $p^2$.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 3 Pith papers

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

  1. On Grauert-Riemenschneider vanishing for Cohen-Macaulay schemes of klt type

    math.AG 2025-06 conditional novelty 7.0 of 10

    The paper proves degree-one Grauert-Riemenschneider vanishing for Cohen-Macaulay klt-type schemes and, in dimension three, full GR vanishing and rational singularities.

  2. Computation method for perfectoid purity and perfectoid BCM-regularity

    math.AG 2025-02 conditional novelty 7.0 of 10

    Quasi-F-splitting height in mixed characteristic characterizes perfectoid purity and computes the perfectoid pure threshold of p for complete intersection rings.

  3. On Steenbrink vanishing for rational singularities in positive characteristic

    math.AG 2025-07 conditional novelty 6.0 of 10

    A positive characteristic Steenbrink vanishing theorem is proved for rational singularities, giving the vanishing for strongly F-regular threefolds and Q-factorial klt threefolds in large characteristic.

Pith tools