Pith. sign in

REVIEW 1 cited by

Globally +-regular varieties and the minimal model program for threefolds in mixed characteristic

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 2012.15801 v3 pith:YVOPAE2P submitted 2020-12-31 math.AG math.ACmath.NT

Bhargav Bhatt , Linquan Ma , Zsolt Patakfalvi , Karl Schwede , Kevin Tucker , Joe Waldron , Jakub Witaszek This is my paper · ORCID
classification math.AGmath.ACmath.NT
keywords characteristicmixedgeneralizeminimalmodelprogramthreefoldsadjoint
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
abstract

We establish the Minimal Model Program for arithmetic threefolds whose residue characteristics are greater than five. In doing this, we generalize the theory of global $F$-regularity to mixed characteristic and identify certain stable sections of adjoint line bundles. Finally, by passing to graded rings, we generalize a special case of Fujita's conjecture to mixed characteristic.

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. Some terminal orders on 3-folds

    math.AG 2026-07 accept novelty 7.0 of 10

    First non-trivial terminal local orders in dimension three are constructed as maximal orders with toric ramification data and as deformed symbols ramified on Kleinian singularities.

Pith tools