Pith. sign in

REVIEW 1 cited by

On the Tate conjecture for divisors on varieties with $h^{2,0} = 1$ in positive characteristics

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 2207.11904 v4 pith:XMMZE6UO submitted 2022-07-25 math.AG math.NT

Paul Hamacher , Ziquan Yang , Xiaolei Zhao This is my paper · ORCID
classification math.AGmath.NT
keywords conjecturetatedivisorsgeneralvarietiesassumptioncasecharacteristics
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
abstract

We prove that the Tate conjecture for divisors is ''generically true'' for mod p reductions of complex projective varieties with $h^{2, 0} = 1$, under a mild assumption on moduli. By refining this general result, we establish a new case of the BSD conjecture over global function fields, and the Tate conjecture for a class of general type surfaces of geometric genus 1.

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. The Tate conjecture for surfaces of geometric genus one -- embracing singularities

    math.AG 2025-01 conditional novelty 7.0 of 10

    By extending Kuga-Satake period morphisms to singular models, the authors prove the Tate conjecture for many geometric-genus-one surfaces and BSD for height-one elliptic curves over genus-one function fields.

Pith tools